Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: It is shown that there are arbitrarily long "good" (in the sense of Gilbert) binary block codes that are preserved under very large permutation groups. This result contrasts sharply with the properties of linear codes: it is conjectured that long cyclic codes are bad, and known that long affine-invariant codes are bad.
['Robert J. McEliece']
I am writing a research paper on a idea On the symmetry of good nonlinear codes
[{"from": "human", "value": "I am writing a research paper on a idea On the symmetry of good nonlinear codes"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: It is shown that there are arbitrarily long \"good\" (in the sense of Gilbert) binary block codes that are preserved under very large permutation groups. This result contrasts sharply with the properties of linear codes: it is conjectured that long cyclic codes are bad, and known that long affine-invariant codes are bad."}]