Information on Result #874169
Linear OOA(6456, 2148, F64, 2, 20) (dual of [(2148, 2), 4240, 21]-NRT-code), using OOA 2-folding based on linear OA(6456, 4296, F64, 20) (dual of [4296, 4240, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(6456, 4297, F64, 20) (dual of [4297, 4241, 21]-code), using
- (u, u+v)-construction [i] based on
- linear OA(6417, 199, F64, 10) (dual of [199, 182, 11]-code), using
- construction XX applied to C1 = C([61,69]), C2 = C([60,68]), C3 = C1 + C2 = C([61,68]), and C∩ = C1 ∩ C2 = C([60,69]) [i] based on
- 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(6415, 195, F64, 9) (dual of [195, 180, 10]-code), using the BCH-code C(I) with length 195 | 642−1, defining interval I = {60,61,…,68}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(6417, 195, F64, 10) (dual of [195, 178, 11]-code), using the BCH-code C(I) with length 195 | 642−1, defining interval I = {60,61,…,69}, and designed minimum distance d ≥ |I|+1 = 11 [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(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([61,69]), C2 = C([60,68]), C3 = C1 + C2 = C([61,68]), and C∩ = C1 ∩ C2 = C([60,69]) [i] based on
- linear OA(6439, 4098, F64, 20) (dual of [4098, 4059, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(6439, 4096, F64, 20) (dual of [4096, 4057, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(6437, 4096, F64, 19) (dual of [4096, 4059, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(6417, 199, F64, 10) (dual of [199, 182, 11]-code), using
- (u, u+v)-construction [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
None.