Information on Result #734899
Linear OA(6491, 262465, F64, 24) (dual of [262465, 262374, 25]-code), using (u, u+v)-construction based on
- linear OA(6421, 318, F64, 12) (dual of [318, 297, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(6421, 316, F64, 12) (dual of [316, 295, 13]-code), using an extension Ce(11) of the narrow-sense BCH-code C(I) with length 315 | 642−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(6419, 316, F64, 11) (dual of [316, 297, 12]-code), using an extension Ce(10) of the narrow-sense BCH-code C(I) with length 315 | 642−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(11) ⊂ Ce(10) [i] based on
- linear OA(6470, 262147, F64, 24) (dual of [262147, 262077, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(6470, 262144, F64, 24) (dual of [262144, 262074, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(6467, 262144, F64, 23) (dual of [262144, 262077, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 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 (see above)
- construction X applied to Ce(23) ⊂ Ce(22) [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(6491, 131232, F64, 2, 24) (dual of [(131232, 2), 262373, 25]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6491, 87488, F64, 3, 24) (dual of [(87488, 3), 262373, 25]-NRT-code) | [i] | ||