On the Weight Distribution of Concatenated Code Ensemble Based on the Plotkin Construction

Computer Science > Information Theory [Submitted on 29 Aug 2025 (v1), last revised 30 May 2026 (this version, v2)] Title:On the Weight Distribution of Concatenated Code Ensemble Based on the Plotkin Construction View PDF HTML (experimental)Abstract:In this note, we reveal a relation between the weight distribution of a concatenated code ensemble based on the Plotkin construction and those of its component codes. The relation may find applications in the calculation of the ensemble weight distributions for many codes, including Reed-Muller (RM)-like codes. Submission history From: Xiao Ma [view email][v1] Fri, 29 Aug 2025 10:57:56 UTC (181 KB) [v2] Sat, 30 May 2026 12:19:47 UTC (87 KB) Current browse context: cs.IT References & Citations Loading... Bibliographic and Citation Tools Bibliographic Explorer (What is the Explorer?) Connected Papers (What is Connected Papers?) Litmaps (What is Litmaps?) scite Smart Citations (What are Smart Citations?) Code, Data and Media Associated with this Article alphaXiv (What is alphaXiv?) CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub (What is DagsHub?) Gotit.pub (What is GotitPub?) Hugging Face (What is Huggingface?) ScienceCast (What is ScienceCast?) Demos Recommenders and Search Tools Influence Flower (What are Influence Flowers?) CORE Recommender (What is CORE?) arXivLabs: experimental projects with community collaborators Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.