Information on Result #681911

Linear OA(444, 63, F4, 26) (dual of [63, 19, 27]-code), using contraction based on linear OA(4170, 189, F4, 80) (dual of [189, 19, 81]-code), using the expurgated narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [0,77], and minimum distance d ≥ |{−2,−1,…,77}|+1 = 81 (BCH-bound) [i]

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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.

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Other Results with Identical Parameters

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(4107, 126, F4, 53) (dual of [126, 19, 54]-code) [i]Repeating Each Code Word
2Linear OA(4106, 124, F4, 53) (dual of [124, 18, 54]-code) [i]
3Linear OA(4105, 122, F4, 53) (dual of [122, 17, 54]-code) [i]
4Linear OA(4104, 120, F4, 53) (dual of [120, 16, 54]-code) [i]
5Linear OA(4103, 118, F4, 53) (dual of [118, 15, 54]-code) [i]
6Linear OA(4102, 116, F4, 53) (dual of [116, 14, 54]-code) [i]
7Linear OA(4101, 114, F4, 53) (dual of [114, 13, 54]-code) [i]
8Linear OA(4100, 112, F4, 53) (dual of [112, 12, 54]-code) [i]
9Linear OA(499, 110, F4, 53) (dual of [110, 11, 54]-code) [i]
10Linear OA(2151, 189, F2, 53) (dual of [189, 38, 54]-code) [i]Concatenation of Two Codes
11Linear OA(2150, 186, F2, 53) (dual of [186, 36, 54]-code) [i]
12Linear OA(2149, 183, F2, 53) (dual of [183, 34, 54]-code) [i]
13Linear OA(2148, 180, F2, 53) (dual of [180, 32, 54]-code) [i]
14Linear OA(2147, 177, F2, 53) (dual of [177, 30, 54]-code) [i]
15Linear OA(2146, 174, F2, 53) (dual of [174, 28, 54]-code) [i]
16Linear OA(2145, 171, F2, 53) (dual of [171, 26, 54]-code) [i]
17Linear OA(2144, 168, F2, 53) (dual of [168, 24, 54]-code) [i]
18Linear OA(447, 66, F4, 27) (dual of [66, 19, 28]-code) [i]✔Construction X with Cyclic Codes
19Linear OA(446, 68, F4, 26) (dual of [68, 22, 27]-code) [i]✔
20Linear OA(451, 70, F4, 28) (dual of [70, 19, 29]-code) [i]✔
21Linear OA(454, 73, F4, 30) (dual of [73, 19, 31]-code) [i]✔
22Linear OA(445, 70, F4, 24) (dual of [70, 25, 25]-code) [i]✔
23Linear OA(448, 73, F4, 26) (dual of [73, 25, 27]-code) [i]✔
24Linear OA(459, 78, F4, 31) (dual of [78, 19, 32]-code) [i]✔
25Linear OA(450, 76, F4, 26) (dual of [76, 26, 27]-code) [i]✔
26Linear OA(448, 74, F4, 25) (dual of [74, 26, 26]-code) [i]✔
27Linear OA(471, 90, F4, 38) (dual of [90, 19, 39]-code) [i]✔
28Linear OA(451, 78, F4, 26) (dual of [78, 27, 27]-code) [i]✔
29Linear OA(471, 91, F4, 38) (dual of [91, 20, 39]-code) [i]✔Construction XX with Cyclic Codes
30Linear OA(459, 79, F4, 31) (dual of [79, 20, 32]-code) [i]✔
31Linear OA(454, 74, F4, 30) (dual of [74, 20, 31]-code) [i]✔
32Linear OA(451, 71, F4, 28) (dual of [71, 20, 29]-code) [i]✔
33Linear OA(447, 67, F4, 27) (dual of [67, 20, 28]-code) [i]✔
34Linear OA(450, 77, F4, 26) (dual of [77, 27, 27]-code) [i]✔
35Linear OA(448, 74, F4, 26) (dual of [74, 26, 27]-code) [i]✔
36Linear OA(445, 71, F4, 24) (dual of [71, 26, 25]-code) [i]✔
37Linear OA(446, 69, F4, 26) (dual of [69, 23, 27]-code) [i]✔
38Linear OA(458, 75, F4, 31) (dual of [75, 17, 32]-code) [i]✔Construction XX with a Chain of Cyclic Codes
39Linear OA(452, 69, F4, 29) (dual of [69, 17, 30]-code) [i]✔
40Linear OA(455, 76, F4, 28) (dual of [76, 21, 29]-code) [i]✔
41Linear OA(457, 77, F4, 30) (dual of [77, 20, 31]-code) [i]✔
42Linear OA(454, 74, F4, 28) (dual of [74, 20, 29]-code) [i]✔
43Linear OA(450, 70, F4, 27) (dual of [70, 20, 28]-code) [i]✔
44Linear OA(446, 69, F4, 25) (dual of [69, 23, 26]-code) [i]✔
45Linear OA(449, 75, F4, 26) (dual of [75, 26, 27]-code) [i]✔
46Linear OA(446, 72, F4, 24) (dual of [72, 26, 25]-code) [i]✔
47Linear OA(460, 80, F4, 31) (dual of [80, 20, 32]-code) [i]✔
48Linear OA(455, 75, F4, 30) (dual of [75, 20, 31]-code) [i]✔
49Linear OOA(444, 21, F4, 3, 26) (dual of [(21, 3), 19, 27]-NRT-code) [i]OOA Folding