Information on Result #900866
Linear OOA(2770, 9891, F27, 2, 20) (dual of [(9891, 2), 19712, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2712, 48, F27, 2, 10) (dual of [(48, 2), 84, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,85P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- linear OOA(2758, 9843, F27, 2, 20) (dual of [(9843, 2), 19628, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2758, 19686, F27, 20) (dual of [19686, 19628, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- 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(2755, 19683, F27, 19) (dual of [19683, 19628, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(19) ⊂ Ce(18) [i] based on
- OOA 2-folding [i] based on linear OA(2758, 19686, F27, 20) (dual of [19686, 19628, 21]-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(2770, 1978, F27, 22, 20) (dual of [(1978, 22), 43446, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |