Information on Result #874136
Linear OOA(6470, 131173, F64, 2, 19) (dual of [(131173, 2), 262276, 20]-NRT-code), using OOA 2-folding based on linear OA(6470, 262346, F64, 19) (dual of [262346, 262276, 20]-code), using
- (u, u+v)-construction [i] based on
- linear OA(6415, 199, F64, 9) (dual of [199, 184, 10]-code), using
- construction XX applied to C1 = C([62,69]), C2 = C([61,68]), C3 = C1 + C2 = C([62,68]), and C∩ = C1 ∩ C2 = C([61,69]) [i] based on
- linear OA(6413, 195, F64, 8) (dual of [195, 182, 9]-code), using the BCH-code C(I) with length 195 | 642−1, defining interval I = {62,63,…,69}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(6413, 195, F64, 8) (dual of [195, 182, 9]-code), using the BCH-code C(I) with length 195 | 642−1, defining interval I = {61,62,…,68}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(6415, 195, F64, 9) (dual of [195, 180, 10]-code), using the BCH-code C(I) with length 195 | 642−1, defining interval I = {61,62,…,69}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(6411, 195, F64, 7) (dual of [195, 184, 8]-code), using the BCH-code C(I) with length 195 | 642−1, defining interval I = {62,63,…,68}, and designed minimum distance d ≥ |I|+1 = 8 [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)
- construction XX applied to C1 = C([62,69]), C2 = C([61,68]), C3 = C1 + C2 = C([62,68]), and C∩ = C1 ∩ C2 = C([61,69]) [i] based on
- linear OA(6455, 262147, F64, 19) (dual of [262147, 262092, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(6455, 262144, F64, 19) (dual of [262144, 262089, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(6452, 262144, F64, 18) (dual of [262144, 262092, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(18) ⊂ Ce(17) [i] based on
- linear OA(6415, 199, F64, 9) (dual of [199, 184, 10]-code), using
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
None.