Information on Result #694781
Linear OA(27109, 531494, F27, 25) (dual of [531494, 531385, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,7]) based on
- linear OA(2797, 531442, F27, 25) (dual of [531442, 531345, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(2757, 531442, F27, 15) (dual of [531442, 531385, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- 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
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 OA(27110, 531495, F27, 25) (dual of [531495, 531385, 26]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(27109, 265747, F27, 2, 25) (dual of [(265747, 2), 531385, 26]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(27109, 44291, F27, 25, 25) (dual of [(44291, 25), 1107166, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |