Information on Result #692521
Linear OA(16125, 608, F16, 45) (dual of [608, 483, 46]-code), using construction X applied to Ce(44) ⊂ Ce(38) based on
- linear OA(16119, 586, F16, 45) (dual of [586, 467, 46]-code), using an extension Ce(44) of the narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [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(166, 22, F16, 5) (dual of [22, 16, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(166, 24, F16, 5) (dual of [24, 18, 6]-code), using
- extended algebraic-geometric code AGe(F,18P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(166, 24, F16, 5) (dual of [24, 18, 6]-code), 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(16125, 304, F16, 2, 45) (dual of [(304, 2), 483, 46]-NRT-code) | [i] | OOA Folding | |