Information on Result #692497
Linear OA(16108, 597, F16, 40) (dual of [597, 489, 41]-code), using construction X applied to Ce(39) ⊂ Ce(34) based on
- 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(1697, 586, F16, 35) (dual of [586, 489, 36]-code), using an extension Ce(34) of the narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(16108, 298, F16, 2, 40) (dual of [(298, 2), 488, 41]-NRT-code) | [i] | OOA Folding | |