Information on Result #695313
Linear OA(27105, 19731, F27, 32) (dual of [19731, 19626, 33]-code), using construction X applied to Ce(31) ⊂ Ce(18) 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(2755, 19683, F27, 19) (dual of [19683, 19628, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(2714, 48, F27, 12) (dual of [48, 34, 13]-code), using
- extended algebraic-geometric code AGe(F,35P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, 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(27105, 9865, F27, 2, 32) (dual of [(9865, 2), 19625, 33]-NRT-code) | [i] | OOA Folding | |