Information on Result #851998
Linear OOA(987, 387, F9, 2, 27) (dual of [(387, 2), 687, 28]-NRT-code), using OOA 2-folding based on linear OA(987, 774, F9, 27) (dual of [774, 687, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(987, 775, F9, 27) (dual of [775, 688, 28]-code), using
- construction XX applied to C1 = C([722,14]), C2 = C([0,20]), C3 = C1 + C2 = C([0,14]), and C∩ = C1 ∩ C2 = C([722,20]) [i] based on
- linear OA(958, 728, F9, 21) (dual of [728, 670, 22]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−6,−5,…,14}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(955, 728, F9, 21) (dual of [728, 673, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(973, 728, F9, 27) (dual of [728, 655, 28]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−6,−5,…,20}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(940, 728, F9, 15) (dual of [728, 688, 16]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(97, 25, F9, 5) (dual of [25, 18, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- linear OA(97, 22, F9, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code) (see above)
- construction XX applied to C1 = C([722,14]), C2 = C([0,20]), C3 = C1 + C2 = C([0,14]), and C∩ = C1 ∩ C2 = C([722,20]) [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.