Information on Result #1462581
Linear OOA(6425, 319, F64, 2, 14) (dual of [(319, 2), 613, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(6425, 319, F64, 14) (dual of [319, 294, 15]-code), using
- construction XX applied to C1 = C([314,11]), C2 = C([0,12]), C3 = C1 + C2 = C([0,11]), and C∩ = C1 ∩ C2 = C([314,12]) [i] based on
- 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(6423, 315, F64, 13) (dual of [315, 292, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 315 | 642−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(6425, 315, F64, 14) (dual of [315, 290, 15]-code), using the BCH-code C(I) with length 315 | 642−1, defining interval I = {−1,0,…,12}, and designed minimum distance d ≥ |I|+1 = 15 [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(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: 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
None.