Information on Result #693712
Linear OA(25103, 15685, F25, 30) (dual of [15685, 15582, 31]-code), using construction X applied to Ce(29) ⊂ Ce(14) based on
- linear OA(2585, 15625, F25, 30) (dual of [15625, 15540, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(2543, 15625, F25, 15) (dual of [15625, 15582, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(2518, 60, F25, 14) (dual of [60, 42, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2518, 65, F25, 14) (dual of [65, 47, 15]-code), using
- algebraic-geometric code AG(F,50P) [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(2518, 65, F25, 14) (dual of [65, 47, 15]-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(25103, 7842, F25, 2, 30) (dual of [(7842, 2), 15581, 31]-NRT-code) | [i] | OOA Folding | |