Information on Result #612711

Linear OA(4100, 4194304, F4, 13) (dual of [4194304, 4194204, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(4106, 4194311, F4, 13) (dual of [4194311, 4194205, 14]-code) [i](u, u+v)-Construction
2Linear OA(4107, 4194313, F4, 13) (dual of [4194313, 4194206, 14]-code) [i]
3Linear OA(4108, 4194321, F4, 13) (dual of [4194321, 4194213, 14]-code) [i]
4Linear OA(4111, 4194315, F4, 14) (dual of [4194315, 4194204, 15]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(4101, 4194316, F4, 13) (dual of [4194316, 4194215, 14]-code) [i]
6Linear OA(4123, 4194327, F4, 15) (dual of [4194327, 4194204, 16]-code) [i]
7Linear OA(4101, 4194327, F4, 12) (dual of [4194327, 4194226, 13]-code) [i]
8Linear OA(4103, 4194325, F4, 13) (dual of [4194325, 4194222, 14]-code) [i]
9Linear OA(4104, 4194330, F4, 13) (dual of [4194330, 4194226, 14]-code) [i]
10Linear OA(4138, 4194342, F4, 17) (dual of [4194342, 4194204, 18]-code) [i]
11Linear OA(4105, 4194342, F4, 13) (dual of [4194342, 4194237, 14]-code) [i]
12Linear OA(4151, 4194347, F4, 18) (dual of [4194347, 4194196, 19]-code) [i]
13Linear OA(4152, 4194356, F4, 18) (dual of [4194356, 4194204, 19]-code) [i]
14Linear OA(4107, 4194347, F4, 12) (dual of [4194347, 4194240, 13]-code) [i]
15Linear OA(4165, 4194368, F4, 19) (dual of [4194368, 4194203, 20]-code) [i]
16Linear OA(4167, 4194371, F4, 19) (dual of [4194371, 4194204, 20]-code) [i]
17Linear OA(4166, 4194370, F4, 19) (dual of [4194370, 4194204, 20]-code) [i]
18Linear OA(4179, 4194374, F4, 20) (dual of [4194374, 4194195, 21]-code) [i]
19Linear OA(4123, 4194328, F4, 15) (dual of [4194328, 4194205, 16]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes
20Linear OA(4101, 4194328, F4, 12) (dual of [4194328, 4194227, 13]-code) [i]
21Linear OOA(4100, 2097152, F4, 2, 13) (dual of [(2097152, 2), 4194204, 14]-NRT-code) [i]OOA Folding
22Linear OOA(4100, 1398101, F4, 3, 13) (dual of [(1398101, 3), 4194203, 14]-NRT-code) [i]
23Linear OOA(4100, 699050, F4, 13, 13) (dual of [(699050, 13), 9087550, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row