Information on Result #733461
Linear OA(2764, 19738, F27, 18) (dual of [19738, 19674, 19]-code), using (u, u+v)-construction based on
- linear OA(2712, 52, F27, 9) (dual of [52, 40, 10]-code), using
- extended algebraic-geometric code AGe(F,42P) [i] based on function field F/F27 with g(F) = 3 and N(F) ≥ 52, using
- linear OA(2752, 19686, F27, 18) (dual of [19686, 19634, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- 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(2749, 19683, F27, 17) (dual of [19683, 19634, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(270, 3, F27, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 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(2764, 9869, F27, 2, 18) (dual of [(9869, 2), 19674, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2764, 2193, F27, 18, 18) (dual of [(2193, 18), 39410, 19]-NRT-code) | [i] | OA Folding and Stacking | |