Information on Result #899527
Linear OOA(2559, 195380, F25, 2, 13) (dual of [(195380, 2), 390701, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2510, 66, F25, 2, 6) (dual of [(66, 2), 122, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,125P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2549, 195314, F25, 2, 13) (dual of [(195314, 2), 390579, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2549, 390628, F25, 13) (dual of [390628, 390579, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2549, 390629, F25, 13) (dual of [390629, 390580, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(2549, 390625, F25, 13) (dual of [390625, 390576, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(2545, 390625, F25, 12) (dual of [390625, 390580, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(2549, 390629, F25, 13) (dual of [390629, 390580, 14]-code), using
- OOA 2-folding [i] based on linear OA(2549, 390628, F25, 13) (dual of [390628, 390579, 14]-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(2559, 65126, F25, 14, 13) (dual of [(65126, 14), 911705, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |