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A Group Ring Construction of the Extended Binary Golay Code

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2 Author(s)
McLoughlin, I. ; Nat. Univ. of Ireland, Galway ; Hurley, Ted

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.

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Information Theory, IEEE Transactions on  (Volume:54 ,  Issue: 9 )