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Characterization of quaternary extremal codes of lengths 18 and 20
被引:20
作者
:
Huffman, WC
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematical Sciences, Loyola University, Chicago
Huffman, WC
机构
:
[1]
Department of Mathematical Sciences, Loyola University, Chicago
来源
:
IEEE TRANSACTIONS ON INFORMATION THEORY
|
1997年
/ 43卷
/ 05期
关键词
:
extremal codes;
Hermitian self-dual codes;
quaternary codes;
D O I
:
10.1109/18.623160
中图分类号
:
TP [自动化技术、计算机技术];
学科分类号
:
0812 ;
摘要
:
We prove that, up to equivalence, there is a unique extremal quaternary Hermitian self-dual code of length 18, and that there are two inequivalent extremal quaternary Hermitian self-dual codes of length 20.
引用
收藏
页码:1613 / 1616
页数:4
相关论文
共 8 条
[1]
THE AUTOMORPHISM GROUP OF AN [18,9,8] QUATERNARY CODE
CHENG, Y
论文数:
0
引用数:
0
h-index:
0
机构:
AT&T BELL LABS,MATH & STAT RES CTR,MURRAY HILL,NJ 07974
AT&T BELL LABS,MATH & STAT RES CTR,MURRAY HILL,NJ 07974
CHENG, Y
SLOANE, NJA
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0
引用数:
0
h-index:
0
机构:
AT&T BELL LABS,MATH & STAT RES CTR,MURRAY HILL,NJ 07974
AT&T BELL LABS,MATH & STAT RES CTR,MURRAY HILL,NJ 07974
SLOANE, NJA
[J].
DISCRETE MATHEMATICS,
1990,
83
(2-3)
: 205
-
212
[2]
SELF-DUAL CODES OVER GF(3) AND GF(4) OF LENGTH NOT EXCEEDING 16
CONWAY, JH
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0
引用数:
0
h-index:
0
机构:
BELL TEL LABS INC,MURRAY HILL,NJ 07974
CONWAY, JH
PLESS, V
论文数:
0
引用数:
0
h-index:
0
机构:
BELL TEL LABS INC,MURRAY HILL,NJ 07974
PLESS, V
SLOANE, NJA
论文数:
0
引用数:
0
h-index:
0
机构:
BELL TEL LABS INC,MURRAY HILL,NJ 07974
SLOANE, NJA
[J].
IEEE TRANSACTIONS ON INFORMATION THEORY,
1979,
25
(03)
: 312
-
322
[3]
OPTIMAL LINEAR CODES OVER GF(4)
GREENOUGH, PP
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV SALFORD,DEPT MATH & COMP SCI,SALFORD M5 4WT,LANCS,ENGLAND
UNIV SALFORD,DEPT MATH & COMP SCI,SALFORD M5 4WT,LANCS,ENGLAND
GREENOUGH, PP
HILL, R
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV SALFORD,DEPT MATH & COMP SCI,SALFORD M5 4WT,LANCS,ENGLAND
UNIV SALFORD,DEPT MATH & COMP SCI,SALFORD M5 4WT,LANCS,ENGLAND
HILL, R
[J].
DISCRETE MATHEMATICS,
1994,
125
(1-3)
: 187
-
199
[4]
ON EXTREMAL SELF-DUAL QUATERNARY CODES OF LENGTHS 18 TO 28, I
HUFFMAN, WC
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematical Sciences Loyola University of Chicago, Chicago, IL
HUFFMAN, WC
[J].
IEEE TRANSACTIONS ON INFORMATION THEORY,
1990,
36
(03)
: 651
-
660
[5]
ON EXTREMAL SELF-DUAL QUATERNARY CODES OF LENGTHS 18 TO 28, II
HUFFMAN, WC
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematical Sciences, Loyola University, Chiccago
HUFFMAN, WC
[J].
IEEE TRANSACTIONS ON INFORMATION THEORY,
1991,
37
(04)
: 1206
-
1216
[6]
THERE IS NO (24,12,10) SELF DUAL QUATERNARY CODE
LAM, CWH
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV ILLINOIS,DEPT MATH STAT & COMP SCI,CHICAGO,IL 60680
UNIV ILLINOIS,DEPT MATH STAT & COMP SCI,CHICAGO,IL 60680
LAM, CWH
PLESS, V
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV ILLINOIS,DEPT MATH STAT & COMP SCI,CHICAGO,IL 60680
UNIV ILLINOIS,DEPT MATH STAT & COMP SCI,CHICAGO,IL 60680
PLESS, V
[J].
IEEE TRANSACTIONS ON INFORMATION THEORY,
1990,
36
(05)
: 1153
-
1156
[7]
SELF-DUAL CODES OVER GF(4)
MACWILLIAMS, FJ
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV VIRGINIA,CHARLOTTESVILLE,VA 22901
UNIV VIRGINIA,CHARLOTTESVILLE,VA 22901
MACWILLIAMS, FJ
ODLYZKO, AM
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV VIRGINIA,CHARLOTTESVILLE,VA 22901
UNIV VIRGINIA,CHARLOTTESVILLE,VA 22901
ODLYZKO, AM
SLOANE, NJA
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV VIRGINIA,CHARLOTTESVILLE,VA 22901
UNIV VIRGINIA,CHARLOTTESVILLE,VA 22901
SLOANE, NJA
WARD, HN
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV VIRGINIA,CHARLOTTESVILLE,VA 22901
UNIV VIRGINIA,CHARLOTTESVILLE,VA 22901
WARD, HN
[J].
JOURNAL OF COMBINATORIAL THEORY SERIES A,
1978,
25
(03)
: 288
-
318
[8]
TERNARY CODES OF MINIMUM WEIGHT 6 AND THE CLASSIFICATION OF THE SELF-DUAL CODES OF LENGTH 20
PLESS, V
论文数:
0
引用数:
0
h-index:
0
机构:
BELL TEL LABS INC,MATH RES CTR,MURRAY HILL,NJ 07974
PLESS, V
SLOANE, NJA
论文数:
0
引用数:
0
h-index:
0
机构:
BELL TEL LABS INC,MATH RES CTR,MURRAY HILL,NJ 07974
SLOANE, NJA
WARD, HN
论文数:
0
引用数:
0
h-index:
0
机构:
BELL TEL LABS INC,MATH RES CTR,MURRAY HILL,NJ 07974
WARD, HN
[J].
IEEE TRANSACTIONS ON INFORMATION THEORY,
1980,
26
(03)
: 305
-
316
←
1
→
共 8 条
[1]
THE AUTOMORPHISM GROUP OF AN [18,9,8] QUATERNARY CODE
CHENG, Y
论文数:
0
引用数:
0
h-index:
0
机构:
AT&T BELL LABS,MATH & STAT RES CTR,MURRAY HILL,NJ 07974
AT&T BELL LABS,MATH & STAT RES CTR,MURRAY HILL,NJ 07974
CHENG, Y
SLOANE, NJA
论文数:
0
引用数:
0
h-index:
0
机构:
AT&T BELL LABS,MATH & STAT RES CTR,MURRAY HILL,NJ 07974
AT&T BELL LABS,MATH & STAT RES CTR,MURRAY HILL,NJ 07974
SLOANE, NJA
[J].
DISCRETE MATHEMATICS,
1990,
83
(2-3)
: 205
-
212
[2]
SELF-DUAL CODES OVER GF(3) AND GF(4) OF LENGTH NOT EXCEEDING 16
CONWAY, JH
论文数:
0
引用数:
0
h-index:
0
机构:
BELL TEL LABS INC,MURRAY HILL,NJ 07974
CONWAY, JH
PLESS, V
论文数:
0
引用数:
0
h-index:
0
机构:
BELL TEL LABS INC,MURRAY HILL,NJ 07974
PLESS, V
SLOANE, NJA
论文数:
0
引用数:
0
h-index:
0
机构:
BELL TEL LABS INC,MURRAY HILL,NJ 07974
SLOANE, NJA
[J].
IEEE TRANSACTIONS ON INFORMATION THEORY,
1979,
25
(03)
: 312
-
322
[3]
OPTIMAL LINEAR CODES OVER GF(4)
GREENOUGH, PP
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV SALFORD,DEPT MATH & COMP SCI,SALFORD M5 4WT,LANCS,ENGLAND
UNIV SALFORD,DEPT MATH & COMP SCI,SALFORD M5 4WT,LANCS,ENGLAND
GREENOUGH, PP
HILL, R
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV SALFORD,DEPT MATH & COMP SCI,SALFORD M5 4WT,LANCS,ENGLAND
UNIV SALFORD,DEPT MATH & COMP SCI,SALFORD M5 4WT,LANCS,ENGLAND
HILL, R
[J].
DISCRETE MATHEMATICS,
1994,
125
(1-3)
: 187
-
199
[4]
ON EXTREMAL SELF-DUAL QUATERNARY CODES OF LENGTHS 18 TO 28, I
HUFFMAN, WC
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematical Sciences Loyola University of Chicago, Chicago, IL
HUFFMAN, WC
[J].
IEEE TRANSACTIONS ON INFORMATION THEORY,
1990,
36
(03)
: 651
-
660
[5]
ON EXTREMAL SELF-DUAL QUATERNARY CODES OF LENGTHS 18 TO 28, II
HUFFMAN, WC
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematical Sciences, Loyola University, Chiccago
HUFFMAN, WC
[J].
IEEE TRANSACTIONS ON INFORMATION THEORY,
1991,
37
(04)
: 1206
-
1216
[6]
THERE IS NO (24,12,10) SELF DUAL QUATERNARY CODE
LAM, CWH
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV ILLINOIS,DEPT MATH STAT & COMP SCI,CHICAGO,IL 60680
UNIV ILLINOIS,DEPT MATH STAT & COMP SCI,CHICAGO,IL 60680
LAM, CWH
PLESS, V
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV ILLINOIS,DEPT MATH STAT & COMP SCI,CHICAGO,IL 60680
UNIV ILLINOIS,DEPT MATH STAT & COMP SCI,CHICAGO,IL 60680
PLESS, V
[J].
IEEE TRANSACTIONS ON INFORMATION THEORY,
1990,
36
(05)
: 1153
-
1156
[7]
SELF-DUAL CODES OVER GF(4)
MACWILLIAMS, FJ
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV VIRGINIA,CHARLOTTESVILLE,VA 22901
UNIV VIRGINIA,CHARLOTTESVILLE,VA 22901
MACWILLIAMS, FJ
ODLYZKO, AM
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV VIRGINIA,CHARLOTTESVILLE,VA 22901
UNIV VIRGINIA,CHARLOTTESVILLE,VA 22901
ODLYZKO, AM
SLOANE, NJA
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV VIRGINIA,CHARLOTTESVILLE,VA 22901
UNIV VIRGINIA,CHARLOTTESVILLE,VA 22901
SLOANE, NJA
WARD, HN
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV VIRGINIA,CHARLOTTESVILLE,VA 22901
UNIV VIRGINIA,CHARLOTTESVILLE,VA 22901
WARD, HN
[J].
JOURNAL OF COMBINATORIAL THEORY SERIES A,
1978,
25
(03)
: 288
-
318
[8]
TERNARY CODES OF MINIMUM WEIGHT 6 AND THE CLASSIFICATION OF THE SELF-DUAL CODES OF LENGTH 20
PLESS, V
论文数:
0
引用数:
0
h-index:
0
机构:
BELL TEL LABS INC,MATH RES CTR,MURRAY HILL,NJ 07974
PLESS, V
SLOANE, NJA
论文数:
0
引用数:
0
h-index:
0
机构:
BELL TEL LABS INC,MATH RES CTR,MURRAY HILL,NJ 07974
SLOANE, NJA
WARD, HN
论文数:
0
引用数:
0
h-index:
0
机构:
BELL TEL LABS INC,MATH RES CTR,MURRAY HILL,NJ 07974
WARD, HN
[J].
IEEE TRANSACTIONS ON INFORMATION THEORY,
1980,
26
(03)
: 305
-
316
←
1
→