diff --git a/codes/classical/bits/nonlinear/gray_map/originals/nadler.yml b/codes/classical/bits/nonlinear/gray_map/originals/nadler.yml index 36b91bc6c..8982e090b 100644 --- a/codes/classical/bits/nonlinear/gray_map/originals/nadler.yml +++ b/codes/classical/bits/nonlinear/gray_map/originals/nadler.yml @@ -8,20 +8,23 @@ physical: bits logical: bits name: 'Nadler code' -introduced: '\cite{manual:{W. W. Peterson, “Some new results on finite fields with applications to BCH codes,” in Combinatorial Mathematics and Its Applications, R. C. Bose and T. A. Dowlinr. Eds. Chaoel Hill. N.C.: Univ. North Carolina Press, 1969.}}' +introduced: '\cite{doi:10.1109/TIT.1962.1057670}' description: | - A nonlinear \((12,35,5)\) binary code that is the largest double-error-correcting code; see construction due to Van Lint \cite{doi:10.1109/TIT.1972.1054904} presented in \cite[Ch. 2, Sec. 8]{preset:MacSlo}. - + A nonlinear \((12,35,5)\) binary code that is the largest double-error-correcting code. + + An inequivalent code with the same parameters was constructed by Van Lint \cite{doi:10.1109/TIT.1972.1054904} and presented in \cite[Ch. 2, Sec. 8]{preset:MacSlo}. Its automorphism group is a subgroup of \(S_3\times S_4\) \cite{doi:10.1109/TIT.1972.1054904}. + While the two codes are inequivalent, the \((13,64,5)\) extension of both codes is unique and is a shortened NR code \cite{doi:10.1109/TIT.1977.1055665}. + relations: parents: - code_id: bits_into_bits cousins: - code_id: nordstrom_robinson - detail: 'The NR code is an extension of the Nadler code \cite{doi:10.1109/TIT.1972.1054904}.' + detail: 'The NR code is an extension of the Nadler code \cite{doi:10.1109/TIT.1972.1054904,doi:10.1109/TIT.1977.1055665}.' # Begin Entry Meta Information