Information on Result #900903
Linear OOA(2775, 9907, F27, 2, 21) (dual of [(9907, 2), 19739, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2714, 64, F27, 2, 10) (dual of [(64, 2), 114, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,117P) [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- linear OOA(2761, 9843, F27, 2, 21) (dual of [(9843, 2), 19625, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2761, 19686, F27, 21) (dual of [19686, 19625, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(2761, 19683, F27, 21) (dual of [19683, 19622, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2758, 19683, F27, 20) (dual of [19683, 19625, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(20) ⊂ Ce(19) [i] based on
- OOA 2-folding [i] based on linear OA(2761, 19686, F27, 21) (dual of [19686, 19625, 22]-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(2775, 1981, F27, 22, 21) (dual of [(1981, 22), 43507, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |