Information on Result #695327
Linear OA(27108, 19739, F27, 32) (dual of [19739, 19631, 33]-code), using construction X applied to Ce(31) ⊂ Ce(17) based on
- linear OA(2791, 19683, F27, 32) (dual of [19683, 19592, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2752, 19683, F27, 18) (dual of [19683, 19631, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(2717, 56, F27, 13) (dual of [56, 39, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2717, 64, F27, 13) (dual of [64, 47, 14]-code), using
- extended algebraic-geometric code AGe(F,50P) [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(2717, 64, F27, 13) (dual of [64, 47, 14]-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, 9869, F27, 2, 32) (dual of [(9869, 2), 19630, 33]-NRT-code) | [i] | OOA Folding | |