Information on Result #735127
Linear OA(6426, 8131, F64, 10) (dual of [8131, 8105, 11]-code), using (u, u+v)-construction based on
- linear OA(647, 4033, F64, 5) (dual of [4033, 4026, 6]-code), using
- linear OA(6419, 4098, F64, 10) (dual of [4098, 4079, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(6419, 4096, F64, 10) (dual of [4096, 4077, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(6417, 4096, F64, 9) (dual of [4096, 4079, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(9) ⊂ Ce(8) [i] based on
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 OOA(6426, 4065, F64, 2, 10) (dual of [(4065, 2), 8104, 11]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6426, 2710, F64, 3, 10) (dual of [(2710, 3), 8104, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(6426, 1626, F64, 10, 10) (dual of [(1626, 10), 16234, 11]-NRT-code) | [i] | OA Folding and Stacking | |