Information on Result #701128

Linear OA(422, 85, F4, 9) (dual of [85, 63, 10]-code), using the cyclic code C(A) with length 85 | 44−1, defining set A = {5,7,9,13,34,37}, and minimum distance d ≥ |{38,52,66,…,−20}|+1 = 10 (BCH-bound)

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(421, 84, F4, 8) (dual of [84, 63, 9]-code) [i]Truncation
2Linear OOA(422, 68, F4, 2, 9) (dual of [(68, 2), 114, 10]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(422, 68, F4, 3, 9) (dual of [(68, 3), 182, 10]-NRT-code) [i]
4Digital (13, 22, 68)-net over F4 [i]
5Linear OA(4257, 262230, F4, 35) (dual of [262230, 261973, 36]-code) [i]Construction X with Cyclic Codes
6Linear OA(4231, 65622, F4, 35) (dual of [65622, 65391, 36]-code) [i]
7Linear OA(4247, 16463, F4, 43) (dual of [16463, 16216, 44]-code) [i]
8Linear OA(4205, 16463, F4, 35) (dual of [16463, 16258, 36]-code) [i]
9Linear OA(4251, 4167, F4, 51) (dual of [4167, 3916, 52]-code) [i]
10Linear OA(4239, 4167, F4, 47) (dual of [4167, 3928, 48]-code) [i]
11Linear OA(4227, 4167, F4, 45) (dual of [4167, 3940, 46]-code) [i]
12Linear OA(4215, 4167, F4, 43) (dual of [4167, 3952, 44]-code) [i]
13Linear OA(4179, 4167, F4, 35) (dual of [4167, 3988, 36]-code) [i]
14Linear OA(423, 92, F4, 8) (dual of [92, 69, 9]-code) [i]✔
15Linear OA(424, 90, F4, 9) (dual of [90, 66, 10]-code) [i]✔
16Linear OA(428, 94, F4, 10) (dual of [94, 66, 11]-code) [i]✔Construction XX with Cyclic Codes
17Linear OA(4239, 262229, F4, 33) (dual of [262229, 261990, 34]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
18Linear OA(4239, 65614, F4, 37) (dual of [65614, 65375, 38]-code) [i]
19Linear OA(4215, 65614, F4, 33) (dual of [65614, 65399, 34]-code) [i]
20Linear OA(4255, 65621, F4, 39) (dual of [65621, 65366, 40]-code) [i]
21Linear OA(4239, 65621, F4, 36) (dual of [65621, 65382, 37]-code) [i]
22Linear OA(4215, 65621, F4, 32) (dual of [65621, 65406, 33]-code) [i]
23Linear OA(4207, 65621, F4, 31) (dual of [65621, 65414, 32]-code) [i]
24Linear OA(4254, 16455, F4, 45) (dual of [16455, 16201, 46]-code) [i]
25Linear OA(4233, 16455, F4, 41) (dual of [16455, 16222, 42]-code) [i]
26Linear OA(4212, 16455, F4, 37) (dual of [16455, 16243, 38]-code) [i]
27Linear OA(4191, 16455, F4, 33) (dual of [16455, 16264, 34]-code) [i]
28Linear OA(4254, 16462, F4, 44) (dual of [16462, 16208, 45]-code) [i]
29Linear OA(4233, 16462, F4, 40) (dual of [16462, 16229, 41]-code) [i]
30Linear OA(4226, 16462, F4, 39) (dual of [16462, 16236, 40]-code) [i]
31Linear OA(4212, 16462, F4, 36) (dual of [16462, 16250, 37]-code) [i]
32Linear OA(4191, 16462, F4, 32) (dual of [16462, 16271, 33]-code) [i]
33Linear OA(4184, 16462, F4, 31) (dual of [16462, 16278, 32]-code) [i]
34Linear OA(4257, 4166, F4, 52) (dual of [4166, 3909, 53]-code) [i]
35Linear OA(4239, 4166, F4, 48) (dual of [4166, 3927, 49]-code) [i]
36Linear OA(4233, 4166, F4, 47) (dual of [4166, 3933, 48]-code) [i]
37Linear OA(4221, 4166, F4, 44) (dual of [4166, 3945, 45]-code) [i]
38Linear OA(4203, 4166, F4, 40) (dual of [4166, 3963, 41]-code) [i]
39Linear OA(4197, 4166, F4, 39) (dual of [4166, 3969, 40]-code) [i]
40Linear OA(4185, 4166, F4, 36) (dual of [4166, 3981, 37]-code) [i]
41Linear OOA(422, 42, F4, 2, 9) (dual of [(42, 2), 62, 10]-NRT-code) [i]OOA Folding