Yuan Yuan, Fan Yun
Abstract
m-weight, as a new generalization of classical Hamming weight, was discussed in this paper. A condition for the existence of linear codes of certainm-weights was given; the Singleton bound, Plotkin bound and Sphere Parking bound of Hamming weight were correspondingly generalized to them-weight.
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m-weight, as a new generalization of classical Hamming weight, was discussed in this paper. A condition for the existence of linear codes of certainm-weights was given; the Singleton bound, Plotkin bound and Sphere Parking bound of Hamming weight were correspondingly generalized to them-weight.
Key concepts: Hamming code, Hamming weight, Generalization, Mathematics, Hamming distance, Singleton, Upper and lower bounds, Combinatorics