Arithmetic norms and bounds of the arithmetic AN codes
- 1 July 1970
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory
- Vol. 16 (4) , 470-476
- https://doi.org/10.1109/tit.1970.1054492
Abstract
Properties of integers, related to the generation of the arithmetic AN codes, are investigated in this paper. A programmable algorithm for the computation of the binary norm of an arbitrary integer is developed. A table of norms of the natural numbers is generated and from this the distribution of integers of a given norm is found. These results are used to compute bounds on the size of ane-fold or less error-correcting AN code and to derive some further properties of single- and double-error-correcting AN codes.Keywords
This publication has 2 references indexed in Scilit:
- Arithmetic codes with large distanceIEEE Transactions on Information Theory, 1967
- Error Detecting and Correcting Binary Codes for Arithmetic OperationsIEEE Transactions on Electronic Computers, 1960