Information on Result #670888
Linear OA(12878, 417, F128, 46) (dual of [417, 339, 47]-code), using (u, u+v)-construction based on
- linear OA(12823, 129, F128, 23) (dual of [129, 106, 24]-code or 129-arc in PG(22,128)), using
- extended Reed–Solomon code RSe(106,128) [i]
- the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(12855, 288, F128, 46) (dual of [288, 233, 47]-code), using
- extended algebraic-geometric code AGe(F,241P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, 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(12878, 208, F128, 2, 46) (dual of [(208, 2), 338, 47]-NRT-code) | [i] | OOA Folding | |