Information on Result #695325
Linear OA(2783, 19731, F27, 24) (dual of [19731, 19648, 25]-code), using construction X applied to Ce(23) ⊂ Ce(11) based on
- linear OA(2770, 19683, F27, 24) (dual of [19683, 19613, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2734, 19683, F27, 12) (dual of [19683, 19649, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(2713, 48, F27, 11) (dual of [48, 35, 12]-code), using
- extended algebraic-geometric code AGe(F,36P) [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(2783, 9865, F27, 2, 24) (dual of [(9865, 2), 19647, 25]-NRT-code) | [i] | OOA Folding | |