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Near-Perfect Codes for Binary-Coded Radix-r Arithmetic Units
May 1983 (vol. 32 no. 5)
pp. 494-497
ASCII Text
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N. Gaitanis, C. Halatsis, "Near-Perfect Codes for Binary-Coded Radix-r Arithmetic Units," IEEE Transactions on Computers, vol. 32, no. 5, pp. 494-497, May, 1983.
 
 
BibTex
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@article{ 10.1109/TC.1983.1676261,
author = {N. Gaitanis and C. Halatsis},
title = {Near-Perfect Codes for Binary-Coded Radix-r Arithmetic Units},
journal ={IEEE Transactions on Computers},
volume = {32},
number = {5},
issn = {0018-9340},
year = {1983},
pages = {494-497},
doi = {http://doi.ieeecomputersociety.org/10.1109/TC.1983.1676261},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Computers
TI - Near-Perfect Codes for Binary-Coded Radix-r Arithmetic Units
IS - 5
SN - 0018-9340
SP494
EP497
EPD - 494-497
A1 - N. Gaitanis,
A1 - C. Halatsis,
PY - 1983
KW - error-correcting codes
KW - AN codes
KW - arithmetic codes
KW - binary-coded radix-r arithmetic
VL - 32
JA - IEEE Transactions on Computers
ER -
 
N. Gaitanis, Digital Systems Laboratory, Computer Center, NRC "Democritos," Aghia Paraskevi
This paper considers AN arithmetic codes with radix r > 2 and binary-coded digits (BCr) using weights. The error-correcting capability of the AN codes is single bit within any BCr digit, that is, the corrected errors are of the form ? wirj where wi are the weights of the BCr code. The paper characterizes a class of AN codes having a generator of the form A = r ? p where r|r - 1 or t|r + 1 and p prime is greater than r - 1 or r + 1. It is shown that these codes, under certain conditions, are near perfect.
Index Terms:
error-correcting codes, AN codes, arithmetic codes, binary-coded radix-r arithmetic
Citation:
N. Gaitanis, C. Halatsis, "Near-Perfect Codes for Binary-Coded Radix-r Arithmetic Units," IEEE Transactions on Computers, vol. 32, no. 5, pp. 494-497, May 1983, doi:10.1109/TC.1983.1676261
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