The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
M-spotty 바이트 오류 제어 코드는 넓은 I/O 데이터(예: 8, 16 또는 32비트)를 갖춘 최신 고밀도 RAM 칩을 사용하는 반도체 메모리 시스템의 오류를 수정/검출하는 데 매우 효과적입니다. 이 경우 I/O 데이터의 너비는 XNUMX바이트입니다. 불규칙한 바이트 오류는 무작위로 정의됩니다. t-길이 바이트 내의 비트 오류 b 비트, 여기서 1 ≤ t ≤ b. 그런 다음 바이트에 적어도 하나의 불규칙한 바이트 오류가 있는 경우 오류를 m-spotty 바이트 오류라고 합니다. M-spotty 바이트 오류 제어 코드는 m-spotty 거리를 특징으로 하며, 여기에는 특수한 경우로 Hamming 거리가 포함됩니다. t = 1 또는 t = b. MacWilliams 아이덴티티는 코드의 가중치 분포와 이중 코드의 가중치 분포 간의 관계를 제공합니다. 본 논문은 m-spotty 바이트 오류 제어 코드의 m-spotty 가중치 열거자에 대한 MacWilliams 아이덴티티를 제시합니다. 또한, 본 논문에서는 표시된 항등에는 특수한 경우로 Hamming Weight 열거자에 대한 MacWilliams 항등이 포함되어 있음을 명시합니다.
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Kazuyoshi SUZUKI, Eiji FUJIWARA, "MacWilliams Identity for M-Spotty Weight Enumerator" in IEICE TRANSACTIONS on Fundamentals,
vol. E93-A, no. 2, pp. 526-531, February 2010, doi: 10.1587/transfun.E93.A.526.
Abstract: M-spotty byte error control codes are very effective for correcting/detecting errors in semiconductor memory systems that employ recent high-density RAM chips with wide I/O data (e.g., 8, 16, or 32 bits). In this case, the width of the I/O data is one byte. A spotty byte error is defined as random t-bit errors within a byte of length b bits, where 1 ≤ t ≤ b. Then, an error is called an m-spotty byte error if at least one spotty byte error is present in a byte. M-spotty byte error control codes are characterized by the m-spotty distance, which includes the Hamming distance as a special case for t = 1 or t = b. The MacWilliams identity provides the relationship between the weight distribution of a code and that of its dual code. The present paper presents the MacWilliams identity for the m-spotty weight enumerator of m-spotty byte error control codes. In addition, the present paper clarifies that the indicated identity includes the MacWilliams identity for the Hamming weight enumerator as a special case.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E93.A.526/_p
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@ARTICLE{e93-a_2_526,
author={Kazuyoshi SUZUKI, Eiji FUJIWARA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={MacWilliams Identity for M-Spotty Weight Enumerator},
year={2010},
volume={E93-A},
number={2},
pages={526-531},
abstract={M-spotty byte error control codes are very effective for correcting/detecting errors in semiconductor memory systems that employ recent high-density RAM chips with wide I/O data (e.g., 8, 16, or 32 bits). In this case, the width of the I/O data is one byte. A spotty byte error is defined as random t-bit errors within a byte of length b bits, where 1 ≤ t ≤ b. Then, an error is called an m-spotty byte error if at least one spotty byte error is present in a byte. M-spotty byte error control codes are characterized by the m-spotty distance, which includes the Hamming distance as a special case for t = 1 or t = b. The MacWilliams identity provides the relationship between the weight distribution of a code and that of its dual code. The present paper presents the MacWilliams identity for the m-spotty weight enumerator of m-spotty byte error control codes. In addition, the present paper clarifies that the indicated identity includes the MacWilliams identity for the Hamming weight enumerator as a special case.},
keywords={},
doi={10.1587/transfun.E93.A.526},
ISSN={1745-1337},
month={February},}
부
TY - JOUR
TI - MacWilliams Identity for M-Spotty Weight Enumerator
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 526
EP - 531
AU - Kazuyoshi SUZUKI
AU - Eiji FUJIWARA
PY - 2010
DO - 10.1587/transfun.E93.A.526
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E93-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2010
AB - M-spotty byte error control codes are very effective for correcting/detecting errors in semiconductor memory systems that employ recent high-density RAM chips with wide I/O data (e.g., 8, 16, or 32 bits). In this case, the width of the I/O data is one byte. A spotty byte error is defined as random t-bit errors within a byte of length b bits, where 1 ≤ t ≤ b. Then, an error is called an m-spotty byte error if at least one spotty byte error is present in a byte. M-spotty byte error control codes are characterized by the m-spotty distance, which includes the Hamming distance as a special case for t = 1 or t = b. The MacWilliams identity provides the relationship between the weight distribution of a code and that of its dual code. The present paper presents the MacWilliams identity for the m-spotty weight enumerator of m-spotty byte error control codes. In addition, the present paper clarifies that the indicated identity includes the MacWilliams identity for the Hamming weight enumerator as a special case.
ER -