[Characterization of binary type II codes from the [8,4,4] extended Hamming code]
We show that any binary type II code can be built as a Cortex code where the basis code is the [8,4,4] extended Hamming code.
Nous montrons que tout code binaire de type II peut être construit sous forme de code Cortex dont le code de base est le code de Hamming étendu de paramètres [8,4,4].
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Ayoub Otmani 1
@article{CRMATH_2003__336_12_971_0, author = {Ayoub Otmani}, title = {Caract\'erisation des codes auto-duaux binaires de {type~II} \`a~partir du code de {Hamming} \'etendu [8,\,4,\,4]}, journal = {Comptes Rendus. Math\'ematique}, pages = {971--974}, publisher = {Elsevier}, volume = {336}, number = {12}, year = {2003}, doi = {10.1016/S1631-073X(03)00232-2}, language = {fr}, }
TY - JOUR AU - Ayoub Otmani TI - Caractérisation des codes auto-duaux binaires de type II à partir du code de Hamming étendu [8, 4, 4] JO - Comptes Rendus. Mathématique PY - 2003 SP - 971 EP - 974 VL - 336 IS - 12 PB - Elsevier DO - 10.1016/S1631-073X(03)00232-2 LA - fr ID - CRMATH_2003__336_12_971_0 ER -
Ayoub Otmani. Caractérisation des codes auto-duaux binaires de type II à partir du code de Hamming étendu [8, 4, 4]. Comptes Rendus. Mathématique, Volume 336 (2003) no. 12, pp. 971-974. doi : 10.1016/S1631-073X(03)00232-2. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(03)00232-2/
[1] J.C. Carlach, A. Otmani, A systematic construction of self-dual codes, IEEE Trans. Inform. Theory, à paraı̂tre
[2] A new family of block turbo-codes, Proceedings of 13th Applicable Algebra in Engineering Communication and Computing (AAECC 13), Hawaii, USA, November 14–19, 1999, p. 15
[3] The Theory of Error-Correcting Codes, North-Holland, Amsterdam, 1986
[4] Self-dual codes (V.S. Pless; W.C. Huffman, eds.), Handbook of Coding Theory, Elsevier, Amsterdam, 1998
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