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Dergiler / Istanbul University Journal of Electrical and Electronics Engineering / 2008 / Cilt: 8 - Sayı: 2

Geometric construction codes of Hamming distance-8

Gökmen ALTAY
Sayfa
665–669
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this paper, we have enhanced the construction of GC codes with respect to code rate and derived a code family of hamming distance-8 GC codes.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:A new high rate binary linear block code construction technique, named as Geometric Construction (GC) codes, was proposed recently [1].
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Temel Bulgular & Veri:It generates all the even full information rate (optimal) Hamming distance – 4 codes.
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Sonuç & Katkı:In this paper, we have enhanced the construction of GC codes with respect to code rate and derived a code family of hamming distance-8 GC codes.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

A new high rate binary linear block code construction technique, named as Geometric Construction (GC) codes, was proposed recently [1]. It generates all the even full information rate (optimal) Hamming distance – 4 codes. In this paper, we have enhanced the construction of GC codes with respect to code rate and derived a code family of hamming distance-8 GC codes.

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Bu Makaleye Atıf Yap

ALTAY, G. (2022). Geometric construction codes of Hamming distance-8. Istanbul University Journal of Electrical and Electronics Engineering, Cilt: 8 - Sayı: 2, 665–669. https://ajindex.com/articles/543769

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Kaynakça (9)

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  3. Williams, M.F.J.; Sloane, N.J.A.: The Theory of Error-Correcting Codes. (North-Holland, Amsterdam, 1998. [4] 4. Forney, Jr., G.D.: Coset codes II: Binary lattices and related codes. IEEE Trans. Inform. Theory, 1988, 34, pp. 1152-1187
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  8. Lucas, R.; Fossorier, M.P.C.; Kou, Y.; Lin, S.: Iterative decoding of one-step majority logic decodable codes based on belief propagation. IEEE Trans. Commun., vol.48, pp.931-937, June 2000
  9. Jhonson, S. J.; Weller, S.R.: A family of irregular LDPC codes with low encoding complexity. IEEE Comm. Letter, vol. 7, pp.79-81, No. 2, Feb. 2003.