Information on Result #816481
Linear OOA(3171, 378, F3, 2, 42) (dual of [(378, 2), 585, 43]-NRT-code), using OOA 2-folding based on linear OA(3171, 756, F3, 42) (dual of [756, 585, 43]-code), using
- discarding factors / shortening the dual code based on linear OA(3171, 757, F3, 42) (dual of [757, 586, 43]-code), using
- construction XX applied to C1 = C([725,36]), C2 = C([0,39]), C3 = C1 + C2 = C([0,36]), and C∩ = C1 ∩ C2 = C([725,39]) [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 = {−3,−2,…,36}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3154, 728, F3, 40) (dual of [728, 574, 41]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,39], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3166, 728, F3, 43) (dual of [728, 562, 44]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−3,−2,…,39}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3142, 728, F3, 37) (dual of [728, 586, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(31, 13, F3, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(34, 16, F3, 2) (dual of [16, 12, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction XX applied to C1 = C([725,36]), C2 = C([0,39]), C3 = C1 + C2 = C([0,36]), and C∩ = C1 ∩ C2 = C([725,39]) [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.