Several classes of permutation trinomials from Niho exponents
Abstract Motivated by recent results on the constructions of permutation polynomials with few terms over the finite field ${\mathbb F}_{2^n}$, where n is a positive even integer, we focus on the construction of permutation trinomials over ${\mathbb F}_{2^n}$ from Niho exponents. As a consequence, se...
Ausführliche Beschreibung
Autor*in: |
Li, Nian [verfasserIn] Helleseth, Tor [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2016 |
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Schlagwörter: |
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Übergeordnetes Werk: |
Enthalten in: Cryptography and communications - New York, NY : Springer, 2009, 9(2016), 6 vom: 28. Dez., Seite 693-705 |
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Übergeordnetes Werk: |
volume:9 ; year:2016 ; number:6 ; day:28 ; month:12 ; pages:693-705 |
Links: |
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DOI / URN: |
10.1007/s12095-016-0210-9 |
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Katalog-ID: |
SPR024273899 |
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520 | |a Abstract Motivated by recent results on the constructions of permutation polynomials with few terms over the finite field ${\mathbb F}_{2^n}$, where n is a positive even integer, we focus on the construction of permutation trinomials over ${\mathbb F}_{2^n}$ from Niho exponents. As a consequence, several new classes of permutation trinomials over ${\mathbb F}_{2^n}$ are constructed from Niho exponents based on some subtle manipulation of solving equations with low degrees over finite fields. | ||
650 | 4 | |a Finite field |7 (dpeaa)DE-He213 | |
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650 | 4 | |a Permutation trinomial |7 (dpeaa)DE-He213 | |
700 | 1 | |a Helleseth, Tor |e verfasserin |4 aut | |
773 | 0 | 8 | |i Enthalten in |t Cryptography and communications |d New York, NY : Springer, 2009 |g 9(2016), 6 vom: 28. Dez., Seite 693-705 |w (DE-627)565516841 |w (DE-600)2424172-6 |x 1936-2455 |7 nnns |
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10.1007/s12095-016-0210-9 doi (DE-627)SPR024273899 (SPR)s12095-016-0210-9-e DE-627 ger DE-627 rakwb eng 510 ASE 54.38 bkl 54.62 bkl Li, Nian verfasserin aut Several classes of permutation trinomials from Niho exponents 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Motivated by recent results on the constructions of permutation polynomials with few terms over the finite field ${\mathbb F}_{2^n}$, where n is a positive even integer, we focus on the construction of permutation trinomials over ${\mathbb F}_{2^n}$ from Niho exponents. As a consequence, several new classes of permutation trinomials over ${\mathbb F}_{2^n}$ are constructed from Niho exponents based on some subtle manipulation of solving equations with low degrees over finite fields. Finite field (dpeaa)DE-He213 Niho exponent (dpeaa)DE-He213 Permutation trinomial (dpeaa)DE-He213 Helleseth, Tor verfasserin aut Enthalten in Cryptography and communications New York, NY : Springer, 2009 9(2016), 6 vom: 28. Dez., Seite 693-705 (DE-627)565516841 (DE-600)2424172-6 1936-2455 nnns volume:9 year:2016 number:6 day:28 month:12 pages:693-705 https://dx.doi.org/10.1007/s12095-016-0210-9 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 9 2016 6 28 12 693-705 |
spelling |
10.1007/s12095-016-0210-9 doi (DE-627)SPR024273899 (SPR)s12095-016-0210-9-e DE-627 ger DE-627 rakwb eng 510 ASE 54.38 bkl 54.62 bkl Li, Nian verfasserin aut Several classes of permutation trinomials from Niho exponents 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Motivated by recent results on the constructions of permutation polynomials with few terms over the finite field ${\mathbb F}_{2^n}$, where n is a positive even integer, we focus on the construction of permutation trinomials over ${\mathbb F}_{2^n}$ from Niho exponents. As a consequence, several new classes of permutation trinomials over ${\mathbb F}_{2^n}$ are constructed from Niho exponents based on some subtle manipulation of solving equations with low degrees over finite fields. Finite field (dpeaa)DE-He213 Niho exponent (dpeaa)DE-He213 Permutation trinomial (dpeaa)DE-He213 Helleseth, Tor verfasserin aut Enthalten in Cryptography and communications New York, NY : Springer, 2009 9(2016), 6 vom: 28. Dez., Seite 693-705 (DE-627)565516841 (DE-600)2424172-6 1936-2455 nnns volume:9 year:2016 number:6 day:28 month:12 pages:693-705 https://dx.doi.org/10.1007/s12095-016-0210-9 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 9 2016 6 28 12 693-705 |
allfields_unstemmed |
10.1007/s12095-016-0210-9 doi (DE-627)SPR024273899 (SPR)s12095-016-0210-9-e DE-627 ger DE-627 rakwb eng 510 ASE 54.38 bkl 54.62 bkl Li, Nian verfasserin aut Several classes of permutation trinomials from Niho exponents 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Motivated by recent results on the constructions of permutation polynomials with few terms over the finite field ${\mathbb F}_{2^n}$, where n is a positive even integer, we focus on the construction of permutation trinomials over ${\mathbb F}_{2^n}$ from Niho exponents. As a consequence, several new classes of permutation trinomials over ${\mathbb F}_{2^n}$ are constructed from Niho exponents based on some subtle manipulation of solving equations with low degrees over finite fields. Finite field (dpeaa)DE-He213 Niho exponent (dpeaa)DE-He213 Permutation trinomial (dpeaa)DE-He213 Helleseth, Tor verfasserin aut Enthalten in Cryptography and communications New York, NY : Springer, 2009 9(2016), 6 vom: 28. Dez., Seite 693-705 (DE-627)565516841 (DE-600)2424172-6 1936-2455 nnns volume:9 year:2016 number:6 day:28 month:12 pages:693-705 https://dx.doi.org/10.1007/s12095-016-0210-9 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 9 2016 6 28 12 693-705 |
allfieldsGer |
10.1007/s12095-016-0210-9 doi (DE-627)SPR024273899 (SPR)s12095-016-0210-9-e DE-627 ger DE-627 rakwb eng 510 ASE 54.38 bkl 54.62 bkl Li, Nian verfasserin aut Several classes of permutation trinomials from Niho exponents 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Motivated by recent results on the constructions of permutation polynomials with few terms over the finite field ${\mathbb F}_{2^n}$, where n is a positive even integer, we focus on the construction of permutation trinomials over ${\mathbb F}_{2^n}$ from Niho exponents. As a consequence, several new classes of permutation trinomials over ${\mathbb F}_{2^n}$ are constructed from Niho exponents based on some subtle manipulation of solving equations with low degrees over finite fields. Finite field (dpeaa)DE-He213 Niho exponent (dpeaa)DE-He213 Permutation trinomial (dpeaa)DE-He213 Helleseth, Tor verfasserin aut Enthalten in Cryptography and communications New York, NY : Springer, 2009 9(2016), 6 vom: 28. Dez., Seite 693-705 (DE-627)565516841 (DE-600)2424172-6 1936-2455 nnns volume:9 year:2016 number:6 day:28 month:12 pages:693-705 https://dx.doi.org/10.1007/s12095-016-0210-9 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 9 2016 6 28 12 693-705 |
allfieldsSound |
10.1007/s12095-016-0210-9 doi (DE-627)SPR024273899 (SPR)s12095-016-0210-9-e DE-627 ger DE-627 rakwb eng 510 ASE 54.38 bkl 54.62 bkl Li, Nian verfasserin aut Several classes of permutation trinomials from Niho exponents 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Motivated by recent results on the constructions of permutation polynomials with few terms over the finite field ${\mathbb F}_{2^n}$, where n is a positive even integer, we focus on the construction of permutation trinomials over ${\mathbb F}_{2^n}$ from Niho exponents. As a consequence, several new classes of permutation trinomials over ${\mathbb F}_{2^n}$ are constructed from Niho exponents based on some subtle manipulation of solving equations with low degrees over finite fields. Finite field (dpeaa)DE-He213 Niho exponent (dpeaa)DE-He213 Permutation trinomial (dpeaa)DE-He213 Helleseth, Tor verfasserin aut Enthalten in Cryptography and communications New York, NY : Springer, 2009 9(2016), 6 vom: 28. Dez., Seite 693-705 (DE-627)565516841 (DE-600)2424172-6 1936-2455 nnns volume:9 year:2016 number:6 day:28 month:12 pages:693-705 https://dx.doi.org/10.1007/s12095-016-0210-9 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 9 2016 6 28 12 693-705 |
language |
English |
source |
Enthalten in Cryptography and communications 9(2016), 6 vom: 28. Dez., Seite 693-705 volume:9 year:2016 number:6 day:28 month:12 pages:693-705 |
sourceStr |
Enthalten in Cryptography and communications 9(2016), 6 vom: 28. Dez., Seite 693-705 volume:9 year:2016 number:6 day:28 month:12 pages:693-705 |
format_phy_str_mv |
Article |
institution |
findex.gbv.de |
topic_facet |
Finite field Niho exponent Permutation trinomial |
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510 |
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false |
container_title |
Cryptography and communications |
authorswithroles_txt_mv |
Li, Nian @@aut@@ Helleseth, Tor @@aut@@ |
publishDateDaySort_date |
2016-12-28T00:00:00Z |
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565516841 |
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englisch |
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Li, Nian ddc 510 bkl 54.38 bkl 54.62 misc Finite field misc Niho exponent misc Permutation trinomial Several classes of permutation trinomials from Niho exponents |
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510 ASE 54.38 bkl 54.62 bkl Several classes of permutation trinomials from Niho exponents Finite field (dpeaa)DE-He213 Niho exponent (dpeaa)DE-He213 Permutation trinomial (dpeaa)DE-He213 |
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Several classes of permutation trinomials from Niho exponents |
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Abstract Motivated by recent results on the constructions of permutation polynomials with few terms over the finite field ${\mathbb F}_{2^n}$, where n is a positive even integer, we focus on the construction of permutation trinomials over ${\mathbb F}_{2^n}$ from Niho exponents. As a consequence, several new classes of permutation trinomials over ${\mathbb F}_{2^n}$ are constructed from Niho exponents based on some subtle manipulation of solving equations with low degrees over finite fields. |
abstractGer |
Abstract Motivated by recent results on the constructions of permutation polynomials with few terms over the finite field ${\mathbb F}_{2^n}$, where n is a positive even integer, we focus on the construction of permutation trinomials over ${\mathbb F}_{2^n}$ from Niho exponents. As a consequence, several new classes of permutation trinomials over ${\mathbb F}_{2^n}$ are constructed from Niho exponents based on some subtle manipulation of solving equations with low degrees over finite fields. |
abstract_unstemmed |
Abstract Motivated by recent results on the constructions of permutation polynomials with few terms over the finite field ${\mathbb F}_{2^n}$, where n is a positive even integer, we focus on the construction of permutation trinomials over ${\mathbb F}_{2^n}$ from Niho exponents. As a consequence, several new classes of permutation trinomials over ${\mathbb F}_{2^n}$ are constructed from Niho exponents based on some subtle manipulation of solving equations with low degrees over finite fields. |
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Several classes of permutation trinomials from Niho exponents |
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