Information on Result #732721
Linear OA(25103, 390710, F25, 22) (dual of [390710, 390607, 23]-code), using (u, u+v)-construction based on
- linear OA(2515, 66, F25, 11) (dual of [66, 51, 12]-code), using
- extended algebraic-geometric code AGe(F,54P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2588, 390644, F25, 22) (dual of [390644, 390556, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(17) [i] based on
- linear OA(2585, 390625, F25, 22) (dual of [390625, 390540, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(2569, 390625, F25, 18) (dual of [390625, 390556, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(253, 19, F25, 3) (dual of [19, 16, 4]-code or 19-arc in PG(2,25) or 19-cap in PG(2,25)), using
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- Reed–Solomon code RS(22,25) [i]
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- construction X applied to Ce(21) ⊂ Ce(17) [i] based on
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(25103, 195355, F25, 2, 22) (dual of [(195355, 2), 390607, 23]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(25103, 35519, F25, 22, 22) (dual of [(35519, 22), 781315, 23]-NRT-code) | [i] | OA Folding and Stacking | |