Information on Result #1062772
Linear OOA(3167, 189, F3, 4, 41) (dual of [(189, 4), 589, 42]-NRT-code), using OOA 4-folding based on linear OA(3167, 756, F3, 41) (dual of [756, 589, 42]-code), using
- discarding factors / shortening the dual code based on linear OA(3167, 759, F3, 41) (dual of [759, 592, 42]-code), using
- construction XX applied to C1 = C([325,364]), C2 = C([330,365]), C3 = C1 + C2 = C([330,364]), and C∩ = C1 ∩ C2 = C([325,365]) [i] based on
- linear OA(3154, 728, F3, 40) (dual of [728, 574, 41]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {325,326,…,364}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3142, 728, F3, 36) (dual of [728, 586, 37]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {330,331,…,365}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3160, 728, F3, 41) (dual of [728, 568, 42]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {325,326,…,365}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(3136, 728, F3, 35) (dual of [728, 592, 36]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {330,331,…,364}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- 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
- linear OA(30, 6, F3, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction XX applied to C1 = C([325,364]), C2 = C([330,365]), C3 = C1 + C2 = C([330,364]), and C∩ = C1 ∩ C2 = C([325,365]) [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.