Frontend
Construction and Decoding of Convolutional Codes with optimal Column Distances
arXiv math.IT0 views
arXiv:2601.20825v2 Announce Type: replace Abstract: The construction of Maximum Distance Profile (MDP) convolutional codes in general requires the use of very large finite fields. In contrast convolutional codes with optimal column distances maximize the column distances for a given arbitrary finite field. In this paper, we present a construction of such convolutional codes. In addition, we prove that for the considered parameters the codes that we constructed are the only ones achieving optimal column distances. The structure of the presented convolutional codes with optimal column distances is strongly related to first order Reed-Muller block codes and we leverage this fact to develop a reduced complexity version of the Viterbi algorithm for these codes.
Source:https://arxiv.org/abs/2601.20825PreviousAge Optimal Sampling and Routing under Intermittent Links and Energy ConstraintsNextGRAND for Gaussian Intersymbol Interference Channels
Related posts
Architectural Blueprint: Enterprise AI Application Development Platforms for Deep Legacy Software Integration
0dev.to Programming
Generating WhatsApp Templates With an LLM: Category Rules, Invented Facts and Checks in Code
0dev.to TypeScript
ValiNum v2.2.0: Phone Number Validation for 10 More African Countries
0dev.to TypeScript
Playwright Page Object Model in TypeScript (the Right Way)
0dev.to TypeScript
Taking payment before the user installs your Chrome extension
0dev.to TypeScript
Approval workflows look simple: 10 edge cases that will break yours
0dev.to TypeScript