Information on Result #670998
Linear OA(12862, 345, F128, 38) (dual of [345, 283, 39]-code), using (u, u+v)-construction based on
- linear OA(12819, 129, F128, 19) (dual of [129, 110, 20]-code or 129-arc in PG(18,128)), using
- extended Reed–Solomon code RSe(110,128) [i]
- the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(12843, 216, F128, 38) (dual of [216, 173, 39]-code), using
- extended algebraic-geometric code AGe(F,177P) [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, 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(12862, 172, F128, 2, 38) (dual of [(172, 2), 282, 39]-NRT-code) | [i] | OOA Folding | |