Algebraic decoding of the (41, 21, 9) quadratic residue code without determining the unknown syndromes

Physical Communication ◽

10.1016/j.phycom.2020.101135 ◽

2020 ◽

Vol 42 ◽

pp. 101135

Author(s):

Chunlan Luo ◽

Yi Wu ◽

Hsin-chiu Chang ◽

Zheng Yang ◽

Song Xing

Keyword(s):

Quadratic Residue ◽

Residue Code ◽

Algebraic Decoding ◽

Quadratic Residue Code

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Algebraic Decoding of the (31, 16, 7) Quadratic Residue Code by Using Berlekamp-Massey Algorithm

2010 International Conference on Communications and Mobile Computing ◽

10.1109/cmc.2010.345 ◽

2010 ◽

Author(s):

Tsung-Ching Lin ◽

Pei-Yu Shih ◽

Wen-Ku Su ◽

Trieu-Kien Truong

Keyword(s):

Quadratic Residue ◽

Residue Code ◽

Algebraic Decoding ◽

Quadratic Residue Code

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Algebraic decoding of the (32, 16, 8) quadratic residue code

IEEE Transactions on Information Theory ◽

10.1109/18.53750 ◽

1990 ◽

Vol 36 (4) ◽

pp. 876-880 ◽

Author(s):

I.S. Reed ◽

X. Yin ◽

T.-K. Truong

Keyword(s):

Quadratic Residue ◽

Residue Code ◽

Algebraic Decoding ◽

Quadratic Residue Code

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Algebraic decoding of the binary systematic (71, 36, 11) quadratic residue code

Journal of the Chinese Institute of Engineers ◽

10.1080/02533839.2012.730259 ◽

2013 ◽

Vol 36 (3) ◽

pp. 399-404 ◽

Author(s):

Hung-Peng Lee ◽

Hsin-Chiu Chang ◽

Shao-I Chu

Keyword(s):

Quadratic Residue ◽

Residue Code ◽

Algebraic Decoding ◽

Quadratic Residue Code

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Algebraic decoding of the ternary (37, 18, 11) quadratic residue code

International Journal of Information and Coding Theory ◽

10.1504/ijicot.2011.044678 ◽

2011 ◽

Vol 2 (1) ◽

pp. 59 ◽

Author(s):

J. Carmelo Interlando

Keyword(s):

Quadratic Residue ◽

Residue Code ◽

Algebraic Decoding ◽

Quadratic Residue Code

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Algebraic decoding of the ternary (13,7,5) quadratic residue code

IEEE Transactions on Information Theory ◽

10.1109/18.135652 ◽

1992 ◽

Vol 38 (3) ◽

pp. 1122-1125 ◽

Author(s):

J.F. Humphreys

Keyword(s):

Quadratic Residue ◽

Residue Code ◽

Algebraic Decoding ◽

Quadratic Residue Code

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Algebraic decoding of (71,36,11) quadratic residue code using Berlekamp-Massey algorithm

International Conference on Communication Technology Proceedings, 2003. ICCT 2003. ◽

10.1109/icct.2003.1209822 ◽

2004 ◽

Author(s):

Y. Chang ◽

T.K. Truong ◽

I.S. Reed ◽

R. He ◽

Y.H. Chen ◽

...

Keyword(s):

Quadratic Residue ◽

Residue Code ◽

Algebraic Decoding ◽

Quadratic Residue Code

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Study on the algebraic decoding of the (89, 45, 17) quadratic residue code

2012 2nd International Conference on Consumer Electronics, Communications and Networks (CECNet) ◽

10.1109/cecnet.2012.6201692 ◽

2012 ◽

Author(s):

Hung-Peng Lee

Keyword(s):

Quadratic Residue ◽

Residue Code ◽

Algebraic Decoding ◽

Quadratic Residue Code

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Algebraic decoding of (79,40,15) quadratic residue code using inverse-free Berlekamp-Massey algorithm

Proceedings 2003 IEEE Information Theory Workshop (Cat. No.03EX674) ◽

10.1109/itw.2003.1216739 ◽

2004 ◽

Author(s):

T.K. Truong ◽

Y. Chang ◽

I.S. Reed ◽

R. He ◽

C.D. Lee ◽

...

Keyword(s):

Quadratic Residue ◽

Residue Code ◽

Algebraic Decoding ◽

Quadratic Residue Code

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Algebraic Decoding of the $(89, 45, 17)$ Quadratic Residue Code

IEEE Transactions on Information Theory ◽

10.1109/tit.2008.929956 ◽

2008 ◽

Vol 54 (11) ◽

pp. 5005-5011 ◽

Author(s):

Trieu-Kien Truong ◽

Pei-Yu Shih ◽

Wen-Ku Su ◽

Chong-Dao Lee ◽

Yaotsu Chang

Keyword(s):

Quadratic Residue ◽

Residue Code ◽

Algebraic Decoding ◽

Quadratic Residue Code

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Decoding the Ternary (23, 11, 9) Quadratic Residue Code

Research Letters in Communications ◽

10.1155/2009/107432 ◽

2009 ◽

Vol 2009 ◽

pp. 1-3 ◽

Author(s):

J. Carmelo Interlando

Keyword(s):

Quadratic Residue ◽

Quadratic Residue Codes ◽

Residue Code ◽

Algebraic Decoding ◽

Quadratic Residue Code

The algebraic decoding of binary quadratic residue codes can be performed using the Peterson or the Berlekamp-Massey algorithm once certain unknown syndromes are determined or eliminated. The technique of determining unknown syndromes is applied to the nonbinary case to decode the expurgated ternary quadratic residue code of length 23.

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