Information on Result #828308
Linear OOA(4211, 525, F4, 2, 55) (dual of [(525, 2), 839, 56]-NRT-code), using OOA 2-folding based on linear OA(4211, 1050, F4, 55) (dual of [1050, 839, 56]-code), using
- discarding factors / shortening the dual code based on linear OA(4211, 1051, F4, 55) (dual of [1051, 840, 56]-code), using
- construction XX applied to C1 = C([1019,48]), C2 = C([0,50]), C3 = C1 + C2 = C([0,48]), and C∩ = C1 ∩ C2 = C([1019,50]) [i] based on
- linear OA(4196, 1023, F4, 53) (dual of [1023, 827, 54]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,48}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(4191, 1023, F4, 51) (dual of [1023, 832, 52]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,50], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(4206, 1023, F4, 55) (dual of [1023, 817, 56]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,50}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(4181, 1023, F4, 49) (dual of [1023, 842, 50]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,48], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
- linear OA(41, 11, F4, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction XX applied to C1 = C([1019,48]), C2 = C([0,50]), C3 = C1 + C2 = C([0,48]), and C∩ = C1 ∩ C2 = C([1019,50]) [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.