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