Information on Result #692491
Linear OA(16124, 597, F16, 46) (dual of [597, 473, 47]-code), using construction X applied to Ce(45) ⊂ Ce(42) based on
- linear OA(16122, 586, F16, 46) (dual of [586, 464, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(16113, 586, F16, 43) (dual of [586, 473, 44]-code), using an extension Ce(42) of the narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(162, 11, F16, 2) (dual of [11, 9, 3]-code or 11-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.