Independence of vectors in codes over rings

Author:

Dougherty Steven T.,Liu Hongwei

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Reference9 articles.

1. Dougherty S.T., Kim J.-L., Kulosman H.: MDS codes over finite principal ideal rings. Des. Codes Cryptogr. 48(3). doi: 10.1007/s10623-008-9215-5 .

2. Faith C.: Algebra II: Ring Theory. Grundlehren Math. Wiss, Bd.191. Springer, Berlin (1976)

3. Hammons A.R. Jr., Kumar P.V., Calderbank A.R., Sloane N.J.A., Solé P.: The Z 4 linearity of Kerdock, Preparata, Goethals and related codes. IEEE Trans. Inform. Theory 40, 301–319 (1994)

4. Horimoto H., Shiromoto K.: A Singleton bound for linear codes over quasi-Frobenius rings. In: Proceedings of the 13th International Symposium on Applied Algebra, Algebraic Algorithms, and Error-Correcting Codes, Hawaii (USA), pp. 51–52 (1999).

5. MacWilliams F.J., Sloane N.J.A.: The theory of error-correcting codes. North-Holland, Amsterdam (1977)

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