Information on Result #721715
Linear OA(1666, 263, F16, 36) (dual of [263, 197, 37]-code), using construction XX applied to C1 = C([0,34]), C2 = C([4,35]), C3 = C1 + C2 = C([4,34]), and C∩ = C1 ∩ C2 = C([0,35]) based on
- linear OA(1661, 255, F16, 35) (dual of [255, 194, 36]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,34], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(1660, 255, F16, 32) (dual of [255, 195, 33]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {4,5,…,35}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(1663, 255, F16, 36) (dual of [255, 192, 37]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,35], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(1658, 255, F16, 31) (dual of [255, 197, 32]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {4,5,…,34}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(163, 6, F16, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,16) or 6-cap in PG(2,16)), using
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), using
- Reed–Solomon code RS(13,16) [i]
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), using
- linear OA(160, 2, F16, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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.