Information on Result #900882
Linear OOA(27108, 4194349, F27, 2, 20) (dual of [(4194349, 2), 8388590, 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(2796, 4194301, F27, 2, 20) (dual of [(4194301, 2), 8388506, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2796, 8388602, F27, 20) (dual of [8388602, 8388506, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2796, large, F27, 20) (dual of [large, large−96, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(2796, large, F27, 20) (dual of [large, large−96, 21]-code), using
- OOA 2-folding [i] based on linear OA(2796, 8388602, F27, 20) (dual of [8388602, 8388506, 21]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(27108, 838869, F27, 22, 20) (dual of [(838869, 22), 18455010, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |