Information on Result #692485
Linear OA(16108, 591, F16, 41) (dual of [591, 483, 42]-code), using construction X applied to Ce(40) ⊂ Ce(38) 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(16103, 586, F16, 39) (dual of [586, 483, 40]-code), using an extension Ce(38) of the narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(161, 5, F16, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-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 OA(16109, 592, F16, 41) (dual of [592, 483, 42]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(16108, 295, F16, 2, 41) (dual of [(295, 2), 482, 42]-NRT-code) | [i] | OOA Folding | |