| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4975440 | Journal of the Franklin Institute | 2013 | 9 Pages |
Abstract
We characterize the structures and properties of one-homogeneous weight linear codes Ck1,â¦,km over Fp[u]/ãumã of type 1k1pk2â¯(pmâ1)km with one unique nonzero weight w0. We introduce a distance-preserving Gray map from (Fp[u]/ãumã)n to Fppmâ1n. By the Gray map, we obtain a class of optimal p-ary one-Hamming weight linear codes from one-homogeneous weight linear codes over Fp[u]/ãumã. We conclude by constructing some one-homogeneous codes over Fp[u]/ãumã.
Related Topics
Physical Sciences and Engineering
Computer Science
Signal Processing
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Authors
Minjia Shi, Shixin Zhu, Shanlin Yang,