Information on Result #610771

Linear OA(45, 11, F4, 4) (dual of [11, 6, 5]-code), using quaternary constacyclic codes with minimum distance 5

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(436, 1036, F4, 9) (dual of [1036, 1000, 10]-code) [i](u, u+v)-Construction
2Linear OA(448, 16396, F4, 9) (dual of [16396, 16348, 10]-code) [i]
3Linear OA(454, 65548, F4, 9) (dual of [65548, 65494, 10]-code) [i]
4Linear OA(460, 262156, F4, 9) (dual of [262156, 262096, 10]-code) [i]
5Linear OA(466, 1048588, F4, 9) (dual of [1048588, 1048522, 10]-code) [i]
6Linear OA(472, 4194316, F4, 9) (dual of [4194316, 4194244, 10]-code) [i]
7Linear OA(423, 30, F4, 14) (dual of [30, 7, 15]-code) [i]Generalized (u, u+v)-Construction
8Linear OA(495, 101, F4, 68) (dual of [101, 6, 69]-code) [i]Juxtaposition
9Linear OA(494, 99, F4, 68) (dual of [99, 5, 69]-code) [i]
10Linear OA(422, 26, F4, 16) (dual of [26, 4, 17]-code) [i]
11Linear OA(490, 94, F4, 68) (dual of [94, 4, 69]-code) [i]
12Linear OOA(242, 24, F2, 2, 24) (dual of [(24, 2), 6, 25]-NRT-code) [i]Concatenation of Two NRT-Codes
13Linear OA(465, 72, F4, 47) (dual of [72, 7, 48]-code) [i]Construction X with Cyclic Codes
14Linear OA(464, 72, F4, 46) (dual of [72, 8, 47]-code) [i]
15Linear OA(4140, 266, F4, 50) (dual of [266, 126, 51]-code) [i]
16Linear OA(465, 73, F4, 47) (dual of [73, 8, 48]-code) [i]Construction XX with Cyclic Codes
17Linear OA(452, 77, F4, 27) (dual of [77, 25, 28]-code) [i]
18Linear OA(457, 79, F4, 30) (dual of [79, 22, 31]-code) [i]
19Linear OA(458, 77, F4, 31) (dual of [77, 19, 32]-code) [i]
20Linear OA(458, 282, F4, 17) (dual of [282, 224, 18]-code) [i]
21Linear OA(492, 282, F4, 29) (dual of [282, 190, 30]-code) [i]
22Linear OA(4106, 270, F4, 36) (dual of [270, 164, 37]-code) [i]
23Linear OA(4114, 280, F4, 38) (dual of [280, 166, 39]-code) [i]
24Linear OA(4134, 282, F4, 45) (dual of [282, 148, 46]-code) [i]
25Linear OA(4142, 268, F4, 51) (dual of [268, 126, 52]-code) [i]
26Linear OA(4144, 268, F4, 52) (dual of [268, 124, 53]-code) [i]
27Linear OA(4201, 279, F4, 93) (dual of [279, 78, 94]-code) [i]
28Linear OA(4201, 278, F4, 94) (dual of [278, 77, 95]-code) [i]
29Linear OA(4255, 270, F4, 177) (dual of [270, 15, 178]-code) [i]
30Linear OA(4260, 265, F4, 196) (dual of [265, 5, 197]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
31Linear OA(4260, 267, F4, 192) (dual of [267, 7, 193]-code) [i]
32Linear OA(4250, 266, F4, 175) (dual of [266, 16, 176]-code) [i]
33Linear OA(4142, 267, F4, 51) (dual of [267, 125, 52]-code) [i]
34Linear OA(4180, 263, F4, 83) (dual of [263, 83, 84]-code) [i]Construction X with VarÅ¡amov Bound
35Linear OA(4181, 264, F4, 84) (dual of [264, 83, 85]-code) [i]
36Linear OA(4182, 266, F4, 84) (dual of [266, 84, 85]-code) [i]
37Linear OA(4183, 268, F4, 84) (dual of [268, 85, 85]-code) [i]
38Linear OA(4182, 265, F4, 85) (dual of [265, 83, 86]-code) [i]
39Linear OA(4187, 269, F4, 87) (dual of [269, 82, 88]-code) [i]
40Linear OA(4188, 271, F4, 87) (dual of [271, 83, 88]-code) [i]
41Linear OA(4109, 141, F4, 56) (dual of [141, 32, 57]-code) [i]
42Linear OA(4110, 143, F4, 56) (dual of [143, 33, 57]-code) [i]
43Linear OA(4110, 142, F4, 57) (dual of [142, 32, 58]-code) [i]
44Linear OA(4113, 145, F4, 58) (dual of [145, 32, 59]-code) [i]
45Linear OA(4114, 146, F4, 59) (dual of [146, 32, 60]-code) [i]
46Linear OA(4115, 148, F4, 59) (dual of [148, 33, 60]-code) [i]
47Linear OA(4134, 163, F4, 72) (dual of [163, 29, 73]-code) [i]