Information on Result #722519
Linear OA(16128, 611, F16, 46) (dual of [611, 483, 47]-code), using construction XX applied to C1 = C([581,38]), C2 = C([1,41]), C3 = C1 + C2 = C([1,38]), and C∩ = C1 ∩ C2 = C([581,41]) based on
- linear OA(16115, 585, F16, 43) (dual of [585, 470, 44]-code), using the BCH-code C(I) with length 585 | 163−1, defining interval I = {−4,−3,…,38}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(16109, 585, F16, 41) (dual of [585, 476, 42]-code), using the narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(16122, 585, F16, 46) (dual of [585, 463, 47]-code), using the BCH-code C(I) with length 585 | 163−1, defining interval I = {−4,−3,…,41}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(16102, 585, F16, 38) (dual of [585, 483, 39]-code), using the narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(164, 17, F16, 4) (dual of [17, 13, 5]-code or 17-arc in PG(3,16)), using
- extended Reed–Solomon code RSe(13,16) [i]
- linear OA(162, 9, F16, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,16)), using
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), using
- Reed–Solomon code RS(14,16) [i]
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), 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.