Information on Result #732813
Linear OA(2583, 390700, F25, 18) (dual of [390700, 390617, 19]-code), using (u, u+v)-construction based on
- linear OA(2513, 66, F25, 9) (dual of [66, 53, 10]-code), using
- extended algebraic-geometric code AGe(F,56P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2570, 390634, F25, 18) (dual of [390634, 390564, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(15) [i] based on
- 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(2561, 390625, F25, 16) (dual of [390625, 390564, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(251, 9, F25, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(17) ⊂ Ce(15) [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(2583, 195350, F25, 2, 18) (dual of [(195350, 2), 390617, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2583, 43411, F25, 18, 18) (dual of [(43411, 18), 781315, 19]-NRT-code) | [i] | OA Folding and Stacking | |