Information on Result #694770
Linear OA(2797, 531480, F27, 23) (dual of [531480, 531383, 24]-code), using construction X applied to C([0,11]) ⊂ C([0,7]) based on
- linear OA(2789, 531442, F27, 23) (dual of [531442, 531353, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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(278, 38, F27, 7) (dual of [38, 30, 8]-code), using
- extended algebraic-geometric code AGe(F,30P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, 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(2797, 265740, F27, 2, 23) (dual of [(265740, 2), 531383, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2797, 48316, F27, 23, 23) (dual of [(48316, 23), 1111171, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |