Information on Result #694952
Linear OA(27108, 531504, F27, 24) (dual of [531504, 531396, 25]-code), using construction X applied to Ce(23) ⊂ Ce(11) based on
- linear OA(2793, 531441, F27, 24) (dual of [531441, 531348, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2745, 531441, F27, 12) (dual of [531441, 531396, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(2715, 63, F27, 11) (dual of [63, 48, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2715, 64, F27, 11) (dual of [64, 49, 12]-code), using
- extended algebraic-geometric code AGe(F,52P) [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- discarding factors / shortening the dual code based on linear OA(2715, 64, F27, 11) (dual of [64, 49, 12]-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(27108, 265752, F27, 2, 24) (dual of [(265752, 2), 531396, 25]-NRT-code) | [i] | OOA Folding | |