We give a new construction of the extended binary Golay code. The code is constructed as a zero divisor code over the dihedral group of twenty-four elements, D 24. The construction is algebraic, much like the construction of the (23,12,7) binary Golay code from a polynomial.
Published in:
Information Theory, IEEE Transactions on
(Volume:54
,
Issue:
9
)
Date of Publication: Sept. 2008