Information on Result #692520
Linear OA(16128, 610, F16, 46) (dual of [610, 482, 47]-code), using construction X applied to Ce(45) ⊂ Ce(39) based on
- linear OA(16122, 586, F16, 46) (dual of [586, 464, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [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(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
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(16128, 305, F16, 2, 46) (dual of [(305, 2), 482, 47]-NRT-code) | [i] | OOA Folding | |