A unified method to construct neural network decoders for arbitrary codes and decoding rules

Discrete Mathematics

Volumn 238, Issue 1-3, 2001, Pages 171-181

  Zhang, Zhaozhi ^a   Ma, Xiaomin ^b   Yang, Yixian ^b  

^a INSTITUTE OF SYSTEMS SCIENCE   (China)

^b BEIJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

Author keywords

Codes; Feedforward neural network; Neural network decoder; Weighted distance perfect code; Weighted distance sphere

Indexed keywords

EID: 0035963999     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(00)00422-2     Document Type: Article

References (13)

1. Y.S. Abu-Mostafa et al., Information capacity of the Hopfield model, IEEE Trans. Inform. Theory IT-31 (4) (1985) 461-464.
2. M. Arai, Bounds on the number of hidden units in binary-valued three-layer neural networks, Neural Networks 6 (1993) 855-860.
3. E.R. Berlekamp et al., On the inherent intractability of certain coding problems, IEEE Trans. Inform. Theory 24 (3) (1978) 384-386.
4. J. Bruck, M. Blaum, Neural networks, error-correcting codes, and polynomials over the binary n-cube, IEEE Trans. Inform. Theory 35 (5) (1989) 976-987.
5. A. Esposito et al., A neural network for error correcting decoding of binary linear codes, Neural networks 7 (1994) 195-202.
6. L. Fine, Feedforward Neural Network Methodology, Springer, New York, 1999.
7. L. Li, Z. Cao, A modified learning rule of the neural network for error correcting decoding, Neural Networks 10 (2) (1997) 387-388.
8. X. Ma, Y.X. Yang, Z. Zhang, Boolean neural network design using set covering in Hamming geometrical space, IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E82-A (10) (1999) 2285-2290.
9. L. Nemes et al., Implementation of arbitrary Boolean functions on a CNN universal machine, Internat. J. Circuit Theory Appl. 26 (1998) 593-610.
10. M. Stevenson, The effects of limited-precision weights on the threshold Adaline, IEEE Trans. Neural Networks 8 (3) (1997) 549-552.
11. Y.H. Tseng, J.L. Wu, Decoding Reed-Muller codes by multi-layer perceptrons, Internat. J. Electron. 75 (4) (1993) 589-594.
12. Y.H. Tseng, J.L. Wu, Fast neural decoders for some cyclic codes, Internat. J. Electron. 75 (4) (1993) 595-600.
13. Z. Zhang, Neural networks and minimum weighted distance decoding, Acta Electron. Sinica 20(10) (1992) 1-9, (in Chinese).