BCH Codes with Minimum Distance Proportional to Code Length
From MaRDI portal
Publication:5150816
DOI10.1137/19M1260876zbMath1478.94139OpenAlexW3127046705MaRDI QIDQ5150816
Satoshi Noguchi, Xiao-Nan Lu, Ying Miao, Masakazu Jimbo
Publication date: 15 February 2021
Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/19m1260876
dimensiongenerating functionminimum distanceBCH codecyclotomic cosetinverse discrete Fourier transform
Related Items (5)
Four infinite families of ternary cyclic codes with a square-root-like lower bound ⋮ Parameters of hulls of primitive binary narrow-sense BCH codes and their subcodes ⋮ Five infinite families of binary cyclic codes and their related codes with good parameters ⋮ BCH cyclic codes ⋮ Five families of the narrow-sense primitive BCH codes over finite fields
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A class of primitive BCH codes and their weight distribution
- Some binary BCH codes with length \(n = 2^m + 1\)
- Parameters of LCD BCH codes with two lengths
- On some cyclic codes of length \(\frac{q^{2m} - 1}{q + 1} \)
- A class of narrow-sense BCH codes over \(\mathbb{F}_q\) of length \(\frac{q^m-1}{2} \)
- The dimension and minimum distance of two classes of primitive BCH codes
- Dimensions of three types of BCH codes over \(\mathrm{GF}(q)\)
- Error-correcting linear codes. Classification by isometry and applications. With CD-ROM
- Minimum cyclotomic coset representatives and their applications to BCH codes and Goppa codes
- Parameters of Several Classes of BCH Codes
- The Bose and Minimum Distance of a Class of BCH Codes
- On a class of error correcting binary group codes
- Further results on error correcting binary group codes
- On a class of primitive BCH-codes
- On Quantum and Classical BCH Codes
- On the number of information symbols in Bose-Chaudhuri codes
- Studying the locator polynomials of minimum weight codewords of BCH codes
- Idempotents and the BCH bound
- Weight distributions of cosets of two-error-correcting binary BCH codes, extended or not
- The weight distributions of extended binary primitive BCH codes of length 128
- Fundamentals of Error-Correcting Codes
- Narrow-Sense BCH Codes Over $ {\mathrm {GF}}(q)$ With Length $n=\frac {q^{m}-1}{q-1}$
- Two Families of LCD BCH Codes
- The Minimum Distance of Some Narrow-Sense Primitive BCH Codes
- Some Nonprimitive BCH Codes and Related Quantum Codes
- On Two Classes of Primitive BCH Codes and Some Related Codes
- A Class of Narrow-Sense BCH Codes
- LCD Cyclic Codes Over Finite Fields
- A Class of Error-Correcting Codes in $p^m $ Symbols
- Some Remarks on BCH Bounds and Minimum Weights of Binary Primitive BCH Codes
- The Enumeration of Information Symbols in BCH Codes
- Some results on the minimum weight of primitive BCH codes (Corresp.)
This page was built for publication: BCH Codes with Minimum Distance Proportional to Code Length
