Information on Result #692503
Linear OA(16119, 601, F16, 44) (dual of [601, 482, 45]-code), using construction X applied to Ce(43) ⊂ Ce(39) based on
- linear OA(16116, 586, F16, 44) (dual of [586, 470, 45]-code), using an extension Ce(43) of the narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(16104, 586, F16, 40) (dual of [586, 482, 41]-code), using an extension Ce(39) of the narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(16119, 300, F16, 2, 44) (dual of [(300, 2), 481, 45]-NRT-code) | [i] | OOA Folding | |