Information on Result #870678
Linear OOA(3293, 684, F32, 2, 33) (dual of [(684, 2), 1275, 34]-NRT-code), using OOA 2-folding based on linear OA(3293, 1368, F32, 33) (dual of [1368, 1275, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(3293, 1369, F32, 33) (dual of [1369, 1276, 34]-code), using
- (u, u+v)-construction [i] based on
- linear OA(3230, 345, F32, 16) (dual of [345, 315, 17]-code), using
- construction XX applied to C1 = C([340,13]), C2 = C([0,14]), C3 = C1 + C2 = C([0,13]), and C∩ = C1 ∩ C2 = C([340,14]) [i] based on
- linear OA(3228, 341, F32, 15) (dual of [341, 313, 16]-code), using the BCH-code C(I) with length 341 | 322−1, defining interval I = {−1,0,…,13}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(3228, 341, F32, 15) (dual of [341, 313, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(3230, 341, F32, 16) (dual of [341, 311, 17]-code), using the BCH-code C(I) with length 341 | 322−1, defining interval I = {−1,0,…,14}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(3226, 341, F32, 14) (dual of [341, 315, 15]-code), using the expurgated narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code) (see above)
- construction XX applied to C1 = C([340,13]), C2 = C([0,14]), C3 = C1 + C2 = C([0,13]), and C∩ = C1 ∩ C2 = C([340,14]) [i] based on
- linear OA(3263, 1024, F32, 33) (dual of [1024, 961, 34]-code), using
- an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(3230, 345, F32, 16) (dual of [345, 315, 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.