Information on Result #900452
Linear OOA(2730, 9881, F27, 2, 9) (dual of [(9881, 2), 19732, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(275, 38, F27, 2, 4) (dual of [(38, 2), 71, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,71P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- linear OOA(2725, 9843, F27, 2, 9) (dual of [(9843, 2), 19661, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2725, 19686, F27, 9) (dual of [19686, 19661, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(2725, 19683, F27, 9) (dual of [19683, 19658, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(2722, 19683, F27, 8) (dual of [19683, 19661, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(270, 3, F27, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- OOA 2-folding [i] based on linear OA(2725, 19686, F27, 9) (dual of [19686, 19661, 10]-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(2730, 4940, F27, 10, 9) (dual of [(4940, 10), 49370, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |