Information on Result #990110
Linear OOA(6491, 1471, F64, 3, 32) (dual of [(1471, 3), 4322, 33]-NRT-code), using OOA 3-folding based on linear OA(6491, 4413, F64, 32) (dual of [4413, 4322, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(6491, 4415, F64, 32) (dual of [4415, 4324, 33]-code), using
- (u, u+v)-construction [i] based on
- linear OA(6428, 317, F64, 16) (dual of [317, 289, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(6428, 316, F64, 16) (dual of [316, 288, 17]-code), using an extension Ce(15) of the narrow-sense BCH-code C(I) with length 315 | 642−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(6427, 316, F64, 15) (dual of [316, 289, 16]-code), using an extension Ce(14) of the narrow-sense BCH-code C(I) with length 315 | 642−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(640, 1, F64, 0) (dual of [1, 1, 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(15) ⊂ Ce(14) [i] based on
- linear OA(6463, 4098, F64, 32) (dual of [4098, 4035, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(30) [i] based on
- linear OA(6463, 4096, F64, 32) (dual of [4096, 4033, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(6461, 4096, F64, 31) (dual of [4096, 4035, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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 (see above)
- construction X applied to Ce(31) ⊂ Ce(30) [i] based on
- linear OA(6428, 317, F64, 16) (dual of [317, 289, 17]-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.