the binary Goppa code is an error-correcting code that belongs to the class of general Goppa codes originally described by Valerii Denisovich Goppa, but...
6 KB (1,154 words) - 17:54, 18 January 2025
Binary Goppa code Low-density parity-check codes Expander code Multidimensional parity-check code Toric code Turbo code Locally recoverable code Hamming...
17 KB (2,694 words) - 03:34, 28 November 2024
McEliece cryptosystem (category Code-based cryptography)
algorithm uses binary Goppa codes (subfield codes of algebraic geometry codes of a genus-0 curve over finite fields of characteristic 2); these codes can be efficiently...
16 KB (2,092 words) - 01:14, 27 January 2025
Post-quantum cryptography (redirect from Code-based cryptography)
Commissions Post Quantum Cryptography Study group recommends using a binary Goppa code of length at least n = 6960 and dimension at least k = 5413, and capable...
63 KB (6,408 words) - 21:27, 9 April 2025
Niederreiter cryptosystem (category Code-based cryptography)
secure when used with a Binary Goppa code. Alice selects a binary (n, k)-linear Goppa code, G, capable of correcting t errors. This code possesses an efficient...
5 KB (675 words) - 02:49, 7 July 2023
particular, it is possible to design binary BCH codes that can correct multiple bit errors. Another advantage of BCH codes is the ease with which they can...
50 KB (10,768 words) - 11:47, 1 November 2024
107–109. VD Goppa (1974). "Binary Symmetric Channel Capacity Is Attained with Irreducible Codes". Probl. Peredachi Inf. 10 (1): 111–112. VD Goppa (1974)....
4 KB (398 words) - 21:15, 5 November 2024
Biclique attack • BID/60 • BID 770 • Bifid cipher • Bill Weisband • Binary Goppa code • Biometric word list • Birthday attack • Bit-flipping attack • BitTorrent...
67 KB (2,933 words) - 10:14, 4 January 2025
This is a list of algebraic coding theory topics....
3 KB (9 words) - 23:09, 3 June 2023
Reed–Solomon error correction (redirect from Reed-Solomon code)
Namekawa, T. (1975). "A method for solving key equation for decoding Goppa codes". Information and Control. 27 (1): 87–99. doi:10.1016/S0019-9958(75)90090-X...
75 KB (12,395 words) - 16:42, 29 April 2025
Berger code Constant-weight code Convolutional code Expander codes Group codes Golay codes, of which the Binary Golay code is of practical interest Goppa code...
40 KB (4,684 words) - 19:46, 17 March 2025
omitted some topics necessary for engineers, including algebraic decoding, Goppa codes, Reed–Solomon error correction, and performance analysis, making this...
7 KB (829 words) - 17:31, 17 December 2024
cryptosystem. Instead of using the parity check matrix of a permuted Goppa code, SB uses a random matrix H {\displaystyle H} . From the security point...
19 KB (2,941 words) - 19:50, 12 August 2024