Information on Result #832297
Linear OOA(4200, 135, F4, 2, 95) (dual of [(135, 2), 70, 96]-NRT-code), using OOA 2-folding based on linear OA(4200, 270, F4, 95) (dual of [270, 70, 96]-code), using
- discarding factors / shortening the dual code based on linear OA(4200, 271, F4, 95) (dual of [271, 71, 96]-code), using
- construction XX applied to C1 = C([251,89]), C2 = C([0,90]), C3 = C1 + C2 = C([0,89]), and C∩ = C1 ∩ C2 = C([251,90]) [i] based on
- linear OA(4192, 255, F4, 94) (dual of [255, 63, 95]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,89}, and designed minimum distance d ≥ |I|+1 = 95 [i]
- linear OA(4188, 255, F4, 91) (dual of [255, 67, 92]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,90], and designed minimum distance d ≥ |I|+1 = 92 [i]
- linear OA(4196, 255, F4, 95) (dual of [255, 59, 96]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,90}, and designed minimum distance d ≥ |I|+1 = 96 [i]
- linear OA(4184, 255, F4, 90) (dual of [255, 71, 91]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,89], and designed minimum distance d ≥ |I|+1 = 91 [i]
- linear OA(44, 12, F4, 3) (dual of [12, 8, 4]-code or 12-cap in PG(3,4)), using
- linear OA(40, 4, F4, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction XX applied to C1 = C([251,89]), C2 = C([0,90]), C3 = C1 + C2 = C([0,89]), and C∩ = C1 ∩ C2 = C([251,90]) [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.