5 citations · 7 across the 6 of their papers we have counts for
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A Hybrid Reliability--Weight Framework for Construction of Polar Codes
Mohammad Rowshan, Vlad-Florin Dragoi
Polar codes are usually constructed by ranking synthetic bit-channels according to reliability, which guarantees capacity-achieving behavior but can yield poor low-weight spectra a…
Generalized Weight Structure of Polar Codes: Selected Template Polynomials
Mohammad Rowshan, Vlad-Florin Dragoi
Polar codes can be viewed as decreasing monomial codes, revealing a rich algebraic structure governed by the lower-triangular affine (LTA) group. We develop a general framework to…
Algebraic Properties of PAC Codes
Vlad-Florin Dragoi, Mohammad Rowshan
We analyze polarization-adjusted convolutional codes using the algebraic representation of polar and Reed-Muller codes. We define a large class of codes, called generalized polynom…
Towards Weight Distribution-Aware Polar Codes
Mohammad Rowshan, Vlad-Florin Dragoi
Polar codes are constructed based on the reliability of sub-channels resulting from the polarization effect. However, this information-theoretic construction approach leads to a po…
On Weight Enumeration and Structure Characterization of Polar Codes via Group Actions
Vlad-Florin Dragoi, Mohammad Rowshan
In this article, we provide a complete characterization of codewords in polar codes with weights less than twice the minimum distance, using the group action of the lower triangula…
Generalized Inverse Based Decoding
Ferucio Laurentiu Tiplea, Vlad-Florin Dragoi
The concept of Generalized Inverse based Decoding (GID) is introduced, as an algebraic framework for the syndrome decoding problem (SDP) and low weight codeword problem (LWP). The…