Information on Result #692496
Linear OA(16111, 597, F16, 41) (dual of [597, 486, 42]-code), using construction X applied to Ce(40) ⊂ Ce(35) based on
- linear OA(16107, 586, F16, 41) (dual of [586, 479, 42]-code), using an extension Ce(40) of the narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(16100, 586, F16, 36) (dual of [586, 486, 37]-code), using an extension Ce(35) of the narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(164, 11, F16, 4) (dual of [11, 7, 5]-code or 11-arc in PG(3,16)), using
- discarding factors / shortening the dual code based on linear OA(164, 16, F16, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), using
- Reed–Solomon code RS(12,16) [i]
- discarding factors / shortening the dual code based on linear OA(164, 16, F16, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), 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.