Information on Result #692474
Linear OA(16107, 589, F16, 41) (dual of [589, 482, 42]-code), using construction X applied to Ce(40) ⊂ Ce(39) 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(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(160, 3, F16, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(16107, 294, F16, 2, 41) (dual of [(294, 2), 481, 42]-NRT-code) | [i] | OOA Folding | |