Information on Result #693293
Linear OA(2599, 390683, F25, 22) (dual of [390683, 390584, 23]-code), using construction X applied to Ce(21) ⊂ Ce(10) 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(2541, 390625, F25, 11) (dual of [390625, 390584, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(2514, 58, F25, 10) (dual of [58, 44, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(2514, 65, F25, 10) (dual of [65, 51, 11]-code), using
- algebraic-geometric code AG(F,54P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- discarding factors / shortening the dual code based on linear OA(2514, 65, F25, 10) (dual of [65, 51, 11]-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(2599, 195341, F25, 2, 22) (dual of [(195341, 2), 390583, 23]-NRT-code) | [i] | OOA Folding | |