Information on Result #990109
Linear OOA(6490, 1432, F64, 3, 32) (dual of [(1432, 3), 4206, 33]-NRT-code), using OOA 3-folding based on linear OA(6490, 4296, F64, 32) (dual of [4296, 4206, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(6490, 4297, F64, 32) (dual of [4297, 4207, 33]-code), using
- (u, u+v)-construction [i] based on
- linear OA(6427, 199, F64, 16) (dual of [199, 172, 17]-code), using
- construction XX applied to C1 = C([58,72]), C2 = C([57,71]), C3 = C1 + C2 = C([58,71]), and C∩ = C1 ∩ C2 = C([57,72]) [i] based on
- linear OA(6425, 195, F64, 15) (dual of [195, 170, 16]-code), using the BCH-code C(I) with length 195 | 642−1, defining interval I = {58,59,…,72}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(6425, 195, F64, 15) (dual of [195, 170, 16]-code), using the BCH-code C(I) with length 195 | 642−1, defining interval I = {57,58,…,71}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(6427, 195, F64, 16) (dual of [195, 168, 17]-code), using the BCH-code C(I) with length 195 | 642−1, defining interval I = {57,58,…,72}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(6423, 195, F64, 14) (dual of [195, 172, 15]-code), using the BCH-code C(I) with length 195 | 642−1, defining interval I = {58,59,…,71}, and designed minimum distance d ≥ |I|+1 = 15 [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([58,72]), C2 = C([57,71]), C3 = C1 + C2 = C([58,71]), and C∩ = C1 ∩ C2 = C([57,72]) [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) (see above)
- construction X applied to Ce(31) ⊂ Ce(30) [i] based on
- linear OA(6427, 199, F64, 16) (dual of [199, 172, 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.