Information on Result #955526
Linear OOA(3137, 89, F3, 3, 44) (dual of [(89, 3), 130, 45]-NRT-code), using OOA 3-folding based on linear OA(3137, 267, F3, 44) (dual of [267, 130, 45]-code), using
- discarding factors / shortening the dual code based on linear OA(3137, 268, F3, 44) (dual of [268, 131, 45]-code), using
- construction XX applied to C1 = C([238,37]), C2 = C([0,39]), C3 = C1 + C2 = C([0,37]), and C∩ = C1 ∩ C2 = C([238,39]) [i] based on
- linear OA(3126, 242, F3, 42) (dual of [242, 116, 43]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−4,−3,…,37}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(3116, 242, F3, 40) (dual of [242, 126, 41]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,39], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3131, 242, F3, 44) (dual of [242, 111, 45]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−4,−3,…,39}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(3111, 242, F3, 38) (dual of [242, 131, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), using
- linear OA(31, 6, F3, 1) (dual of [6, 5, 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
- construction XX applied to C1 = C([238,37]), C2 = C([0,39]), C3 = C1 + C2 = C([0,37]), and C∩ = C1 ∩ C2 = C([238,39]) [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.