ON THE GROBNER BASIS OF A FAMILY OF QUASI-CYCLIC LDPC CODES

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GIORGETTI M.; ROSSI M.; SALA M.

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Paper Information

Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2005 | Volume:31 | Issue:2 Page(s): 13-32

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Title

ON THE GROBNER BASIS OF A FAMILY OF QUASI-CYCLIC LDPC CODES

Author(s)

GIORGETTI M. | ROSSI M. | SALA M. | Issue Writer Certificate

Keywords

GENERALIZED SEMI-DIRECT PRODUCT

DEFICIENCY ZERO GROUP

FACTOR PAIR

CYCLICALLY PRESENTED GROUP

Abstract

In [30] a class of quasi-cyclic LDPC codes has been proposed, whose information rate is 1/2. We generalize that construction to arbitrary rates l-1/l and we provide a Grobner basis for their dual codes, in some generic cases.

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APA: Copy

GIORGETTI, M., ROSSI, M., & SALA, M.. (2005). ON THE GROBNER BASIS OF A FAMILY OF QUASI-CYCLIC LDPC CODES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 31(2), 13-32. SID. https://sid.ir/paper/537140/en

Vancouver: Copy

GIORGETTI M., ROSSI M., SALA M.. ON THE GROBNER BASIS OF A FAMILY OF QUASI-CYCLIC LDPC CODES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2005;31(2):13-32. Available from: https://sid.ir/paper/537140/en

IEEE: Copy

M. GIORGETTI, M. ROSSI, and M. SALA, “ON THE GROBNER BASIS OF A FAMILY OF QUASI-CYCLIC LDPC CODES,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 31, no. 2, pp. 13–32, 2005, [Online]. Available: https://sid.ir/paper/537140/en

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