Information on Result #954196
Linear OOA(3136, 260, F3, 3, 31) (dual of [(260, 3), 644, 32]-NRT-code), using OOA 3-folding based on linear OA(3136, 780, F3, 31) (dual of [780, 644, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(3136, 781, F3, 31) (dual of [781, 645, 32]-code), using
- construction XX applied to C1 = C([722,19]), C2 = C([0,24]), C3 = C1 + C2 = C([0,19]), and C∩ = C1 ∩ C2 = C([722,24]) [i] based on
- linear OA(3103, 728, F3, 26) (dual of [728, 625, 27]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−6,−5,…,19}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(397, 728, F3, 25) (dual of [728, 631, 26]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,24], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3121, 728, F3, 31) (dual of [728, 607, 32]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−6,−5,…,24}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(379, 728, F3, 20) (dual of [728, 649, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- linear OA(37, 25, F3, 4) (dual of [25, 18, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- construction XX applied to C1 = C([722,19]), C2 = C([0,24]), C3 = C1 + C2 = C([0,19]), and C∩ = C1 ∩ C2 = C([722,24]) [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.