Information on Result #694910
Linear OA(27108, 531476, F27, 26) (dual of [531476, 531368, 27]-code), using construction X applied to Ce(25) ⊂ Ce(18) based on
- linear OA(27101, 531441, F27, 26) (dual of [531441, 531340, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2773, 531441, F27, 19) (dual of [531441, 531368, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(277, 35, F27, 6) (dual of [35, 28, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(277, 38, F27, 6) (dual of [38, 31, 7]-code), using
- extended algebraic-geometric code AGe(F,31P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(277, 38, F27, 6) (dual of [38, 31, 7]-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, 265738, F27, 2, 26) (dual of [(265738, 2), 531368, 27]-NRT-code) | [i] | OOA Folding | |