Information on Result #698761
Linear OA(6460, 4101, F64, 30) (dual of [4101, 4041, 31]-code), using construction X applied to Ce(29) ⊂ Ce(27) based on
- linear OA(6459, 4096, F64, 30) (dual of [4096, 4037, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(6455, 4096, F64, 28) (dual of [4096, 4041, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(8120, 8202, F8, 30) (dual of [8202, 8082, 31]-code) | [i] | Trace Code | |
| 2 | OA(3272, 4101, S32, 30) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6476, 4181, F64, 30) (dual of [4181, 4105, 31]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6478, 4205, F64, 30) (dual of [4205, 4127, 31]-code) | [i] | ||
| 5 | Linear OA(6480, 4229, F64, 30) (dual of [4229, 4149, 31]-code) | [i] | ||
| 6 | Linear OA(6482, 4278, F64, 30) (dual of [4278, 4196, 31]-code) | [i] | ||
| 7 | Linear OA(6483, 4280, F64, 30) (dual of [4280, 4197, 31]-code) | [i] | ||
| 8 | Linear OA(6485, 4300, F64, 30) (dual of [4300, 4215, 31]-code) | [i] | ||
| 9 | Linear OOA(6460, 2050, F64, 2, 30) (dual of [(2050, 2), 4040, 31]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(6460, 1367, F64, 3, 30) (dual of [(1367, 3), 4041, 31]-NRT-code) | [i] | ||