A CLASS OF OPTIMUM NONLINEAR DOUBLE-ERROR-CORRECTING CODES,

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Abstract:

Nonlinear double-error-correcting binary codes of length 2 to the nth power-1 are presented in this paper. They can be encoded as systematic codes and have the largest possible number of code words for their length and minimum distance, that is, are optimum. The complexity of the encoding and decoding operations is comparable to the one of the corresponding linear codes. Author

Author(s):
Preparata, Franco P.
Author Organization(s):
ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB
Pagination:
0038

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
R-389
Contract/Grant Number(s):
DAAB07-67-C-0199, NSF-GK-2339
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*CODING, OPTIMIZATION), NONLINEAR SYSTEMS, ERRORS, CORRECTIONS, POLYNOMIALS, THEOREMS, DECODING
Field(s)/Group(s):
Cybernetics
Report Date:
1968 Jul 01