Information on Result #729785
Linear OA(6423, 319, F64, 13) (dual of [319, 296, 14]-code), using construction XX applied to C1 = C([314,10]), C2 = C([0,11]), C3 = C1 + C2 = C([0,10]), and C∩ = C1 ∩ C2 = C([314,11]) based on
- linear OA(6421, 315, F64, 12) (dual of [315, 294, 13]-code), using the BCH-code C(I) with length 315 | 642−1, defining interval I = {−1,0,…,10}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(6421, 315, F64, 12) (dual of [315, 294, 13]-code), using the expurgated narrow-sense BCH-code C(I) with length 315 | 642−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(6423, 315, F64, 13) (dual of [315, 292, 14]-code), using the BCH-code C(I) with length 315 | 642−1, defining interval I = {−1,0,…,11}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(6419, 315, F64, 11) (dual of [315, 296, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 315 | 642−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [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
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
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(6476, 4417, F64, 27) (dual of [4417, 4341, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(6474, 4417, F64, 26) (dual of [4417, 4343, 27]-code) | [i] | ||