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valbert4 committed Feb 14, 2024
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2 changes: 1 addition & 1 deletion codes/classical/bits/combinatorial_design.yml
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notes:
- 'See \cite{preset:HKSdesigns} for a review combinatorial designs.'
- 'See \cite{doi:10.1017/CBO9780511549533,doi:10.1201/9781420010541} for books on combinatorial designs.'
- 'See \cite{doi:10.1017/CBO9780511549533,doi:10.1201/9781420010541,doi:10.1017/CBO9780511623714} for books on combinatorial designs.'

relations:
parents:
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3 changes: 2 additions & 1 deletion codes/classical/bits/easy/hamming/hamming.yml
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logical: bits

name: 'Hamming code'
introduced: '\cite{doi:10.1002/j.1538-7305.1948.tb01338.x,doi:10.1002/j.1538-7305.1950.tb00463.x,manual:{M. J. E. Golay, \emph{Notes on digital coding}, Proc. IEEE, 37 (1949) 657.}}'
introduced: '\cite{doi:10.1111/j.1469-1809.1941.tb02298.x,doi:10.1002/j.1538-7305.1948.tb01338.x,doi:10.1002/j.1538-7305.1950.tb00463.x,manual:{M. J. E. Golay, \emph{Notes on digital coding}, Proc. IEEE, 37 (1949) 657.}}'
# from Cameron, Peter J. "Some bridges between codes and designs." Unpublished manuscript, Queen Mary and Westfield College, London (1998).

description: |
Member of an infinite family of perfect linear codes with parameters \([2^r-1,2^r-r-1, 3]\) for \(r \geq 2\).
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3 changes: 2 additions & 1 deletion codes/classical/q-ary_digits/easy/q-ary_hamming.yml
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Expand Up @@ -8,7 +8,8 @@ physical: q-ary_digits
logical: q-ary_digits

name: '\(q\)-ary Hamming code'
introduced: '\cite{manual:{M. J. E. Golay, \emph{Notes on digital coding}, Proc. IEEE, 37 (1949) 657.}}'
introduced: '\cite{doi:10.1111/j.1469-1809.1943.tb02332.x,manual:{M. J. E. Golay, \emph{Notes on digital coding}, Proc. IEEE, 37 (1949) 657.}}'
# from Cameron, Peter J. "Some bridges between codes and designs." Unpublished manuscript, Queen Mary and Westfield College, London (1998).

description: 'Member of an infinite family of perfect linear \(q\)-ary codes with parameters \([(q^r-1)/(q-1),(q^r-1)/(q-1)-r, 3]_q\) for \(r \geq 2\).'

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2 changes: 0 additions & 2 deletions codes/classical/q-ary_digits/projective/simplex.yml
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logical: q-ary_digits

name: 'Simplex code'
introduced: '\cite{doi:10.1111/j.1469-1809.1941.tb02298.x,doi:10.1111/j.1469-1809.1943.tb02332.x}'
# from Cameron, Peter J. "Some bridges between codes and designs." Unpublished manuscript, Queen Mary and Westfield College, London (1998).

alternative_names:
- 'Maximum-length feedback-shift-register code'
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