References
- E. R. Berlekamp, Algebraic Coding Theory, McGraw-Hill Book Co., New York-Toronto, Ont.-London 1968
- A. Bonnecaze, P. Sole, and A. R. Calderbank, Quaternary quadratic residue codes and unimodular lattices, IEEE Trans. Inform. Theory 41 (1995), no. 2, 366.377 https://doi.org/10.1109/18.370138
- C. N. Campopiano, Bounds on Burst Error Correcting Codes, IRE. Trans. IT-8 (1962), 257.259 https://doi.org/10.1109/TIT.1962.1057711
- W. Cary Huffman and V. Pless, Fundamentals of Error-Correcting Codes, Cambridge University Press, 2003
- P. Fire, A Class of Multiple-Error-Correcting Binary Codes for Non-Independent Errors, Sylvania Reports RSL-E-2, Sylvania Reconnaissance Systems, Mountain View, California, 1959
- S. Jain, Error detecting and error correcting capabilities of Euclidean codes, Pragmatic algebra, 51.66, SAS Int. Publ., Delhi, 2006
- S. Jain, Modification to a bound for random error correction with Lee weight, Commun. Korean Math. Soc. 20 (2005), no. 2, 405.409 https://doi.org/10.4134/CKMS.2005.20.2.405
- S. Jain, On a sufficient condition to attain minimum square distance in Euclidean codes, to appear in Algebra Colloquium
- S. Jain and S. H. Choi, Plotkin's bound in codes equipped with Euclidean weight function, to appear in Tamsui Oxford Journal of Mathematics
- S. Jain and K.-B. Nam, Lower bounds for codes correcting moderate-density bursts of fixed length with Lee weight consideration, Linear Algebra Appl. 418 (2006), no. 1, 122.129 https://doi.org/10.1016/j.laa.2006.01.021
- S. Jain, K.-B. Nam, and K.-S. Lee, On some perfect codes with respect to Lee metric, Linear Algebra Appl. 405 (2005), 104.120 https://doi.org/10.1016/j.laa.2005.03.001
- S. Jain and K. P. Shum, Sufficient condition over the number of parity checks for burst error detection/correction in linear Lee weight codes, Algebra Colloq. 14 (2007), no. 2, 341.350 https://doi.org/10.1142/S1005386707000338
- C. Y. Lee, Some properties of non-binary error correcting codes, IEEE Trans. Information Theory IT-4 (1958), 77.82 https://doi.org/10.1109/TIT.1958.1057446
- W. W. Peterson and E. J.Weldon, Jr., Error Correcting Codes, 2nd Edition, MIT Press, Cambridge, Massachusetts, 1972
- A. D. Wyner, Low-density-burst-correcting Codes, IEEE. Trans. Information Theory IT-9 (1963), 124
Cited by
- Singleton's Bound in Euclidean Codes vol.17, pp.spec01, 2010, https://doi.org/10.1142/S1005386710000714