IEICE TRANSACTIONS on Fundamentals
Trellis Properties of Product Codes
Summary :
In this paper, we study trellis properties of the tensor product (product code) of two linear codes, and prove that the tensor product of the lexicographically first bases for two linear codes in minimal span form is exactly the lexicographically first basis for their product code in minimal span form, also the tensor products of characteristic generators of two linear codes are the characteristic generators of their product code.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E88-A No.1 pp.353-358
- Publication Date
- 2005/01/01
- Publicized
- Online ISSN
- DOI
- 10.1093/ietfec/e88-a.1.353
- Type of Manuscript
- PAPER
- Category
- Coding Theory
Authors
Keyword
Latest Issue
Copyrights notice of machine-translated contents
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Cite this
Copy
Haibin KAN, Hong SHEN, "Trellis Properties of Product Codes" in IEICE TRANSACTIONS on Fundamentals,
vol. E88-A, no. 1, pp. 353-358, January 2005, doi: 10.1093/ietfec/e88-a.1.353.
Abstract: In this paper, we study trellis properties of the tensor product (product code) of two linear codes, and prove that the tensor product of the lexicographically first bases for two linear codes in minimal span form is exactly the lexicographically first basis for their product code in minimal span form, also the tensor products of characteristic generators of two linear codes are the characteristic generators of their product code.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e88-a.1.353/_p
Copy
@ARTICLE{e88-a_1_353,
author={Haibin KAN, Hong SHEN, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Trellis Properties of Product Codes},
year={2005},
volume={E88-A},
number={1},
pages={353-358},
abstract={In this paper, we study trellis properties of the tensor product (product code) of two linear codes, and prove that the tensor product of the lexicographically first bases for two linear codes in minimal span form is exactly the lexicographically first basis for their product code in minimal span form, also the tensor products of characteristic generators of two linear codes are the characteristic generators of their product code.},
keywords={},
doi={10.1093/ietfec/e88-a.1.353},
ISSN={},
month={January},}
Copy
TY - JOUR
TI - Trellis Properties of Product Codes
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 353
EP - 358
AU - Haibin KAN
AU - Hong SHEN
PY - 2005
DO - 10.1093/ietfec/e88-a.1.353
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E88-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2005
AB - In this paper, we study trellis properties of the tensor product (product code) of two linear codes, and prove that the tensor product of the lexicographically first bases for two linear codes in minimal span form is exactly the lexicographically first basis for their product code in minimal span form, also the tensor products of characteristic generators of two linear codes are the characteristic generators of their product code.
ER -
English
