Abstract
Two central problems of coding for noisy channels are:
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1.)
Find high-performance codes
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2.)
Devise efficient but practical decoding methods.
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References
Rudolph L.D. and C.R.P. Hartmann, “Decoding by Sequential Code Reduction,” IEEE Trans. on Inform. Theory, vol. IT-19, pp. 549–555, July 1973.
Massey, J.L., Threshold Decoding, Cambridge Mass.: M.I.T. Press, 1963.
Rudolph, L.D., and W.E. Robbins, “One-Step Weighted-Majority Decoding,” IEEE Trans. on Inform. Theory, vol. IT-18, pp. 446–448, May 1972.
Robbins, W.E., and L.D. Rudolph, “On Two-Level Exclusive-OR Majority Networks,” IEEE Trans. on Computers, vol. C-23, pp. 34–40, January 1974
Delsarte, P. “A Geometric Approach to a Class of Cyclic Codes,” J. Combinatorial Theory, vol. 6, pp. 340–358, May 1969.
Lin, S. and E.J. Weldon, Jr., “New Efficient Majority-Logic Decodable Cyclic Codes,” presented at the 1972 IEEE International Symposium on Information Theory, Asilomas, Calif.
Hartmann, C.R.P., J.B. Ducey and L.D. Rudolph, “On the Structure of Generalized Finite Geometry Codes,” IEEE Trans. on Information Theory, IT-20, pp. 240–252„ March 1974.
Rudolph, L.D. “A Class of Majority Logic Decodable Codes,” IEEE Trans. on Inform. Theory, vol. IT013, pp. 305–307, April 1967.
Rudolph, L.D. and C.R.P. Hartmann, “Maximum-Radius Analog Threshold Decoding”, presented at the 1975 IEEE International Symposium on Information Theory, Notre Dame, Ind.
Rudolph, L.D. and C.R.P. Hartmann, “Algebraic Analog Decoding”, presented at the IEEE Information Theory Workshop, Lenox Mass-, June 1975. To be submitted to the IEEE Trans. on Inform. Theory.
Hartmann, C.R.P., and L.D. Rudolph, “On Optimum Symbol-by-Symbol Decoding Rule for Linear Codes”, Submitted to the IEEE Trans. on Inform. Theory.
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© 1975 Springer-Verlag Wien
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Rudolph, L.D. (1975). Some Current Research in Decoding Theory. In: Longo, G. (eds) Coding and Complexity. International Centre for Mechanical Sciences, vol 216. Springer, Vienna. https://doi.org/10.1007/978-3-7091-3008-7_3
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DOI: https://doi.org/10.1007/978-3-7091-3008-7_3
Publisher Name: Springer, Vienna
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