Information on Result #693713
Linear OA(25110, 15689, F25, 32) (dual of [15689, 15579, 33]-code), using construction X applied to Ce(31) ⊂ Ce(15) based on
- linear OA(2591, 15625, F25, 32) (dual of [15625, 15534, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2546, 15625, F25, 16) (dual of [15625, 15579, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2519, 64, F25, 15) (dual of [64, 45, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2519, 65, F25, 15) (dual of [65, 46, 16]-code), using
- algebraic-geometric code AG(F,49P) [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(2519, 65, F25, 15) (dual of [65, 46, 16]-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(25110, 7844, F25, 2, 32) (dual of [(7844, 2), 15578, 33]-NRT-code) | [i] | OOA Folding | |