Related Experiment Video
Updated: Jan 29, 2026

Enumeration of Neural Stem Cells Using Clonal Assays
Published on: October 4, 2016
The MacWilliams Identity for the m-Spotty Weight Enumerators over ZpRk
Juan Wang1, An Jiang2, Patrick Solé3
1Department of Base Courses, Anhui Sanlian University, Hefei 230601, China.
None:
In this paper, we investigate the m-spotty weight enumerators over the mixed alphabet ZpRk. Specifically, we construct the Gray map from Zpα×Rkβ to Zpα+kβ, where Rk=Zp+vZp+v2Zp+⋯+vk-1Zp with vk=0 and k≥5. Based on this framework, we establish the MacWilliams identity for the m-spotty weight enumerators between a linear code and its dual over ZpRk, by employing the generalized Hadamard transform and the canonical additive character of Zp. Finally, an example is presented to illustrate and validate the theoretical results.
Related Concept Videos
Personal Identity
Trigonometric Identities II
Social Identity
Trigonometric Identities I
Weighted Mean
For example, consider the number of goals scored in the matches of a tournament. While computing the average number of goals scored in the tournament, it may be more important to...
Marcia's Theory of Identity Status

