Information on Result #732802
Linear OA(2564, 15680, F25, 18) (dual of [15680, 15616, 19]-code), using (u, u+v)-construction based on
- linear OA(2512, 52, F25, 9) (dual of [52, 40, 10]-code), using
- extended algebraic-geometric code AGe(F,42P) [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 52, using
- linear OA(2552, 15628, F25, 18) (dual of [15628, 15576, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(2552, 15625, F25, 18) (dual of [15625, 15573, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(2549, 15625, F25, 17) (dual of [15625, 15576, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 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(17) ⊂ Ce(16) [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(2564, 7840, F25, 2, 18) (dual of [(7840, 2), 15616, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2564, 1742, F25, 18, 18) (dual of [(1742, 18), 31292, 19]-NRT-code) | [i] | OA Folding and Stacking | |