Information on Result #692500
Linear OA(16128, 601, F16, 47) (dual of [601, 473, 48]-code), using construction X applied to Ce(46) ⊂ Ce(42) based on
- linear OA(16125, 586, F16, 47) (dual of [586, 461, 48]-code), using an extension Ce(46) of the narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [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(163, 15, F16, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,16) or 15-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
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.