论文信息 - On kernels of perfect codes - 字舞流文

On kernels of perfect codes

It is shown that there exists a perfect one-error-correcting binary code with a kernel which is not contained in any Hamming code.

[1] Olof Heden,et al. On the classification of perfect codes: side class structures , 2006, Des. Codes Cryptogr..

[2] Martin Hessler. Perfect codes as isomorphic spaces , 2006, Discret. Math..

[3] K. Phelps. A GENERAL PRODUCT CONSTRUCTION FOR ERROR CORRECTING CODES , 1984 .

[4] Clement W. H. Lam,et al. More Coverings by Rook Domains , 1984, J. Comb. Theory, Ser. A.

[5] Olof Heden,et al. Perfect codes from the dual point of view I , 2008, Discret. Math..

[6] Richard W. Hamming,et al. Error detecting and error correcting codes , 1950 .