The exponent of a polarizing matrix constructed from the Kronecker product
SCIE
SCOPUS
- Title
- The exponent of a polarizing matrix constructed from the Kronecker product
- Authors
- Lee, MK; Yang, K
- Date Issued
- 2014-03
- Publisher
- SPRINGER
- Abstract
- It was recently shown by Korada et al. that the partial distances of a polarizing matrix completely determine its exponent characterizing the asymptotic performance of a polar code under successive cancellation decoding. In this paper we prove in a purely algebraic way that the partial distances of a polarizing matrix constructed from the Kronecker product are simply expressed as a product of those of its component matrices. As a result, the exponent of the polarizing matrix is shown to be a weighted sum of the exponents of its component matrices.
- Keywords
- Polar codes; Polarizing matrix; Polarization rate; Partial distances; Exponent; Kronecker product; CODES; PERFORMANCE
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/14504
- DOI
- 10.1007/S10623-012-9689-Z
- ISSN
- 0925-1022
- Article Type
- Article
- Citation
- DESIGNS CODES AND CRYPTOGRAPHY, vol. 70, no. 3, page. 313 - 322, 2014-03
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