More classes of permutation trinomials with Niho exponents

Abstract This paper presents two classes of permutation trinomials with the form $x^{s(2^{m}-1)+ 1}+x^{t(2^{m}-1)+ 1}+x$ over the finite field $ \mathbb {F}_{2^{2m}}$ as a supplement of the recent works of Li and Helleseth, and a class of permutation trinomials like this form over $ \mathbb {F}_{3^{...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Deng, Huali [verfasserIn] Zheng, Dabin [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2018

Schlagwörter:	Finite field Permutation polynomial Niho exponent

Übergeordnetes Werk:	Enthalten in: Cryptography and communications - New York, NY : Springer, 2009, 11(2018), 2 vom: 08. Feb., Seite 227-236
Übergeordnetes Werk:	volume:11 ; year:2018 ; number:2 ; day:08 ; month:02 ; pages:227-236

Links:	Volltext

DOI / URN:	10.1007/s12095-018-0284-7

Katalog-ID:	SPR024274763

Internformat


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520			\|a Abstract This paper presents two classes of permutation trinomials with the form $x^{s(2^{m}-1)+ 1}+x^{t(2^{m}-1)+ 1}+x$ over the finite field $ \mathbb {F}_{2^{2m}}$ as a supplement of the recent works of Li and Helleseth, and a class of permutation trinomials like this form over $ \mathbb {F}_{3^{2m}}$. Moreover, we give a method to construct permutation polynomials from known ones.
650		4	\|a Finite field \|7 (dpeaa)DE-He213
650		4	\|a Permutation polynomial \|7 (dpeaa)DE-He213
650		4	\|a Niho exponent \|7 (dpeaa)DE-He213
700	1		\|a Zheng, Dabin \|e verfasserin \|4 aut
773	0	8	\|i Enthalten in \|t Cryptography and communications \|d New York, NY : Springer, 2009 \|g 11(2018), 2 vom: 08. Feb., Seite 227-236 \|w (DE-627)565516841 \|w (DE-600)2424172-6 \|x 1936-2455 \|7 nnns
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856	4	0	\|u https://dx.doi.org/10.1007/s12095-018-0284-7 \|z lizenzpflichtig \|3 Volltext
912			\|a GBV_USEFLAG_A
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912			\|a GBV_ILN_20
912			\|a GBV_ILN_22
912			\|a GBV_ILN_23
912			\|a GBV_ILN_24
912			\|a GBV_ILN_31
912			\|a GBV_ILN_32
912			\|a GBV_ILN_39
912			\|a GBV_ILN_40
912			\|a GBV_ILN_60
912			\|a GBV_ILN_62
912			\|a GBV_ILN_63
912			\|a GBV_ILN_65
912			\|a GBV_ILN_69
912			\|a GBV_ILN_70
912			\|a GBV_ILN_73
912			\|a GBV_ILN_74
912			\|a GBV_ILN_90
912			\|a GBV_ILN_95
912			\|a GBV_ILN_100
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_120
912			\|a GBV_ILN_138
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_171
912			\|a GBV_ILN_187
912			\|a GBV_ILN_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_250
912			\|a GBV_ILN_281
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_636
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2001
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2006
912			\|a GBV_ILN_2007
912			\|a GBV_ILN_2008
912			\|a GBV_ILN_2009
912			\|a GBV_ILN_2010
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2026
912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2031
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2037
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2039
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
912			\|a GBV_ILN_2049
912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2055
912			\|a GBV_ILN_2057
912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2065
912			\|a GBV_ILN_2068
912			\|a GBV_ILN_2070
912			\|a GBV_ILN_2086
912			\|a GBV_ILN_2088
912			\|a GBV_ILN_2093
912			\|a GBV_ILN_2106
912			\|a GBV_ILN_2107
912			\|a GBV_ILN_2108
912			\|a GBV_ILN_2110
912			\|a GBV_ILN_2111
912			\|a GBV_ILN_2112
912			\|a GBV_ILN_2113
912			\|a GBV_ILN_2116
912			\|a GBV_ILN_2118
912			\|a GBV_ILN_2119
912			\|a GBV_ILN_2122
912			\|a GBV_ILN_2129
912			\|a GBV_ILN_2143
912			\|a GBV_ILN_2144
912			\|a GBV_ILN_2147
912			\|a GBV_ILN_2148
912			\|a GBV_ILN_2152
912			\|a GBV_ILN_2153
912			\|a GBV_ILN_2188
912			\|a GBV_ILN_2190
912			\|a GBV_ILN_2232
912			\|a GBV_ILN_2336
912			\|a GBV_ILN_2446
912			\|a GBV_ILN_2470
912			\|a GBV_ILN_2472
912			\|a GBV_ILN_2507
912			\|a GBV_ILN_2522
912			\|a GBV_ILN_2548
912			\|a GBV_ILN_4035
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4046
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4242
912			\|a GBV_ILN_4246
912			\|a GBV_ILN_4249
912			\|a GBV_ILN_4251
912			\|a GBV_ILN_4305
912			\|a GBV_ILN_4306
912			\|a GBV_ILN_4307
912			\|a GBV_ILN_4313
912			\|a GBV_ILN_4322
912			\|a GBV_ILN_4323
912			\|a GBV_ILN_4324
912			\|a GBV_ILN_4325
912			\|a GBV_ILN_4326
912			\|a GBV_ILN_4333
912			\|a GBV_ILN_4334
912			\|a GBV_ILN_4335
912			\|a GBV_ILN_4336
912			\|a GBV_ILN_4338
912			\|a GBV_ILN_4393
912			\|a GBV_ILN_4700
936	b	k	\|a 54.38 \|q ASE
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951			\|a AR
952			\|d 11 \|j 2018 \|e 2 \|b 08 \|c 02 \|h 227-236

Indexfelder

author_variant	h d hd d z dz
matchkey_str	article:19362455:2018----::oelseopruainrnmasi
hierarchy_sort_str	2018
bklnumber	54.38 54.62
publishDate	2018
allfields	10.1007/s12095-018-0284-7 doi (DE-627)SPR024274763 (SPR)s12095-018-0284-7-e DE-627 ger DE-627 rakwb eng 510 ASE 54.38 bkl 54.62 bkl Deng, Huali verfasserin aut More classes of permutation trinomials with Niho exponents 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper presents two classes of permutation trinomials with the form $x^{s(2^{m}-1)+ 1}+x^{t(2^{m}-1)+ 1}+x$ over the finite field $ \mathbb {F}_{2^{2m}}$ as a supplement of the recent works of Li and Helleseth, and a class of permutation trinomials like this form over $ \mathbb {F}_{3^{2m}}$. Moreover, we give a method to construct permutation polynomials from known ones. Finite field (dpeaa)DE-He213 Permutation polynomial (dpeaa)DE-He213 Niho exponent (dpeaa)DE-He213 Zheng, Dabin verfasserin aut Enthalten in Cryptography and communications New York, NY : Springer, 2009 11(2018), 2 vom: 08. Feb., Seite 227-236 (DE-627)565516841 (DE-600)2424172-6 1936-2455 nnns volume:11 year:2018 number:2 day:08 month:02 pages:227-236 https://dx.doi.org/10.1007/s12095-018-0284-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 54.38 ASE 54.62 ASE AR 11 2018 2 08 02 227-236
spelling	10.1007/s12095-018-0284-7 doi (DE-627)SPR024274763 (SPR)s12095-018-0284-7-e DE-627 ger DE-627 rakwb eng 510 ASE 54.38 bkl 54.62 bkl Deng, Huali verfasserin aut More classes of permutation trinomials with Niho exponents 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper presents two classes of permutation trinomials with the form $x^{s(2^{m}-1)+ 1}+x^{t(2^{m}-1)+ 1}+x$ over the finite field $ \mathbb {F}_{2^{2m}}$ as a supplement of the recent works of Li and Helleseth, and a class of permutation trinomials like this form over $ \mathbb {F}_{3^{2m}}$. Moreover, we give a method to construct permutation polynomials from known ones. Finite field (dpeaa)DE-He213 Permutation polynomial (dpeaa)DE-He213 Niho exponent (dpeaa)DE-He213 Zheng, Dabin verfasserin aut Enthalten in Cryptography and communications New York, NY : Springer, 2009 11(2018), 2 vom: 08. Feb., Seite 227-236 (DE-627)565516841 (DE-600)2424172-6 1936-2455 nnns volume:11 year:2018 number:2 day:08 month:02 pages:227-236 https://dx.doi.org/10.1007/s12095-018-0284-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 54.38 ASE 54.62 ASE AR 11 2018 2 08 02 227-236
allfields_unstemmed	10.1007/s12095-018-0284-7 doi (DE-627)SPR024274763 (SPR)s12095-018-0284-7-e DE-627 ger DE-627 rakwb eng 510 ASE 54.38 bkl 54.62 bkl Deng, Huali verfasserin aut More classes of permutation trinomials with Niho exponents 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper presents two classes of permutation trinomials with the form $x^{s(2^{m}-1)+ 1}+x^{t(2^{m}-1)+ 1}+x$ over the finite field $ \mathbb {F}_{2^{2m}}$ as a supplement of the recent works of Li and Helleseth, and a class of permutation trinomials like this form over $ \mathbb {F}_{3^{2m}}$. Moreover, we give a method to construct permutation polynomials from known ones. Finite field (dpeaa)DE-He213 Permutation polynomial (dpeaa)DE-He213 Niho exponent (dpeaa)DE-He213 Zheng, Dabin verfasserin aut Enthalten in Cryptography and communications New York, NY : Springer, 2009 11(2018), 2 vom: 08. Feb., Seite 227-236 (DE-627)565516841 (DE-600)2424172-6 1936-2455 nnns volume:11 year:2018 number:2 day:08 month:02 pages:227-236 https://dx.doi.org/10.1007/s12095-018-0284-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 54.38 ASE 54.62 ASE AR 11 2018 2 08 02 227-236
allfieldsGer	10.1007/s12095-018-0284-7 doi (DE-627)SPR024274763 (SPR)s12095-018-0284-7-e DE-627 ger DE-627 rakwb eng 510 ASE 54.38 bkl 54.62 bkl Deng, Huali verfasserin aut More classes of permutation trinomials with Niho exponents 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper presents two classes of permutation trinomials with the form $x^{s(2^{m}-1)+ 1}+x^{t(2^{m}-1)+ 1}+x$ over the finite field $ \mathbb {F}_{2^{2m}}$ as a supplement of the recent works of Li and Helleseth, and a class of permutation trinomials like this form over $ \mathbb {F}_{3^{2m}}$. Moreover, we give a method to construct permutation polynomials from known ones. Finite field (dpeaa)DE-He213 Permutation polynomial (dpeaa)DE-He213 Niho exponent (dpeaa)DE-He213 Zheng, Dabin verfasserin aut Enthalten in Cryptography and communications New York, NY : Springer, 2009 11(2018), 2 vom: 08. Feb., Seite 227-236 (DE-627)565516841 (DE-600)2424172-6 1936-2455 nnns volume:11 year:2018 number:2 day:08 month:02 pages:227-236 https://dx.doi.org/10.1007/s12095-018-0284-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 54.38 ASE 54.62 ASE AR 11 2018 2 08 02 227-236
allfieldsSound	10.1007/s12095-018-0284-7 doi (DE-627)SPR024274763 (SPR)s12095-018-0284-7-e DE-627 ger DE-627 rakwb eng 510 ASE 54.38 bkl 54.62 bkl Deng, Huali verfasserin aut More classes of permutation trinomials with Niho exponents 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper presents two classes of permutation trinomials with the form $x^{s(2^{m}-1)+ 1}+x^{t(2^{m}-1)+ 1}+x$ over the finite field $ \mathbb {F}_{2^{2m}}$ as a supplement of the recent works of Li and Helleseth, and a class of permutation trinomials like this form over $ \mathbb {F}_{3^{2m}}$. Moreover, we give a method to construct permutation polynomials from known ones. Finite field (dpeaa)DE-He213 Permutation polynomial (dpeaa)DE-He213 Niho exponent (dpeaa)DE-He213 Zheng, Dabin verfasserin aut Enthalten in Cryptography and communications New York, NY : Springer, 2009 11(2018), 2 vom: 08. Feb., Seite 227-236 (DE-627)565516841 (DE-600)2424172-6 1936-2455 nnns volume:11 year:2018 number:2 day:08 month:02 pages:227-236 https://dx.doi.org/10.1007/s12095-018-0284-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 54.38 ASE 54.62 ASE AR 11 2018 2 08 02 227-236
language	English
source	Enthalten in Cryptography and communications 11(2018), 2 vom: 08. Feb., Seite 227-236 volume:11 year:2018 number:2 day:08 month:02 pages:227-236
sourceStr	Enthalten in Cryptography and communications 11(2018), 2 vom: 08. Feb., Seite 227-236 volume:11 year:2018 number:2 day:08 month:02 pages:227-236
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Finite field Permutation polynomial Niho exponent
dewey-raw	510
isfreeaccess_bool	false
container_title	Cryptography and communications
authorswithroles_txt_mv	Deng, Huali @@aut@@ Zheng, Dabin @@aut@@
publishDateDaySort_date	2018-02-08T00:00:00Z
hierarchy_top_id	565516841
dewey-sort	3510
id	SPR024274763
language_de	englisch
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author	Deng, Huali
spellingShingle	Deng, Huali ddc 510 bkl 54.38 bkl 54.62 misc Finite field misc Permutation polynomial misc Niho exponent More classes of permutation trinomials with Niho exponents
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topic_title	510 ASE 54.38 bkl 54.62 bkl More classes of permutation trinomials with Niho exponents Finite field (dpeaa)DE-He213 Permutation polynomial (dpeaa)DE-He213 Niho exponent (dpeaa)DE-He213
topic	ddc 510 bkl 54.38 bkl 54.62 misc Finite field misc Permutation polynomial misc Niho exponent
topic_unstemmed	ddc 510 bkl 54.38 bkl 54.62 misc Finite field misc Permutation polynomial misc Niho exponent
topic_browse	ddc 510 bkl 54.38 bkl 54.62 misc Finite field misc Permutation polynomial misc Niho exponent
format_facet	Elektronische Aufsätze Aufsätze Elektronische Ressource
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title	More classes of permutation trinomials with Niho exponents
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title_full	More classes of permutation trinomials with Niho exponents
author_sort	Deng, Huali
journal	Cryptography and communications
journalStr	Cryptography and communications
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author_browse	Deng, Huali Zheng, Dabin
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class	510 ASE 54.38 bkl 54.62 bkl
format_se	Elektronische Aufsätze
author-letter	Deng, Huali
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title_sort	more classes of permutation trinomials with niho exponents
title_auth	More classes of permutation trinomials with Niho exponents
abstract	Abstract This paper presents two classes of permutation trinomials with the form $x^{s(2^{m}-1)+ 1}+x^{t(2^{m}-1)+ 1}+x$ over the finite field $ \mathbb {F}_{2^{2m}}$ as a supplement of the recent works of Li and Helleseth, and a class of permutation trinomials like this form over $ \mathbb {F}_{3^{2m}}$. Moreover, we give a method to construct permutation polynomials from known ones.
abstractGer	Abstract This paper presents two classes of permutation trinomials with the form $x^{s(2^{m}-1)+ 1}+x^{t(2^{m}-1)+ 1}+x$ over the finite field $ \mathbb {F}_{2^{2m}}$ as a supplement of the recent works of Li and Helleseth, and a class of permutation trinomials like this form over $ \mathbb {F}_{3^{2m}}$. Moreover, we give a method to construct permutation polynomials from known ones.
abstract_unstemmed	Abstract This paper presents two classes of permutation trinomials with the form $x^{s(2^{m}-1)+ 1}+x^{t(2^{m}-1)+ 1}+x$ over the finite field $ \mathbb {F}_{2^{2m}}$ as a supplement of the recent works of Li and Helleseth, and a class of permutation trinomials like this form over $ \mathbb {F}_{3^{2m}}$. Moreover, we give a method to construct permutation polynomials from known ones.
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title_short	More classes of permutation trinomials with Niho exponents
url	https://dx.doi.org/10.1007/s12095-018-0284-7
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author2	Zheng, Dabin
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doi_str	10.1007/s12095-018-0284-7
up_date	2024-07-04T00:16:07.501Z
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fullrecord_marcxml	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">SPR024274763</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20220111113322.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">201006s2018 xx \|\|\|\|\|o 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s12095-018-0284-7</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR024274763</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)s12095-018-0284-7-e</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">ASE</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">54.38</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">54.62</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Deng, Huali</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">More classes of permutation trinomials with Niho exponents</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2018</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract This paper presents two classes of permutation trinomials with the form $x^{s(2^{m}-1)+ 1}+x^{t(2^{m}-1)+ 1}+x$ over the finite field $ \mathbb {F}_{2^{2m}}$ as a supplement of the recent works of Li and Helleseth, and a class of permutation trinomials like this form over $ \mathbb {F}_{3^{2m}}$. Moreover, we give a method to construct permutation polynomials from known ones.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Finite field</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Permutation polynomial</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Niho exponent</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zheng, Dabin</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Cryptography and communications</subfield><subfield code="d">New York, NY : Springer, 2009</subfield><subfield code="g">11(2018), 2 vom: 08. 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More classes of permutation trinomials with Niho exponents

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