Information on Result #1564115
Linear OOA(6417, 8195, F64, 3, 7) (dual of [(8195, 3), 24568, 8]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(6417, 8195, F64, 7) (dual of [8195, 8178, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OA(644, 4097, F64, 3) (dual of [4097, 4093, 4]-code or 4097-cap in PG(3,64)), using
- linear OA(6413, 4098, F64, 7) (dual of [4098, 4085, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(6413, 4096, F64, 7) (dual of [4096, 4083, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(6411, 4096, F64, 6) (dual of [4096, 4085, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
Mode: 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 OOA(6417, 8194, F64, 9, 7) (dual of [(8194, 9), 73729, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |