Information on Result #668704
Linear OA(32109, 1048687, F32, 23) (dual of [1048687, 1048578, 24]-code), using (u, u+v)-construction based on
- linear OA(3220, 110, F32, 11) (dual of [110, 90, 12]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(323, 33, F32, 3) (dual of [33, 30, 4]-code or 33-arc in PG(2,32) or 33-cap in PG(2,32)), using
- extended Reed–Solomon code RSe(30,32) [i]
- linear OA(325, 33, F32, 5) (dual of [33, 28, 6]-code or 33-arc in PG(4,32)), using
- extended Reed–Solomon code RSe(28,32) [i]
- linear OA(3212, 44, F32, 11) (dual of [44, 32, 12]-code), using
- extended algebraic-geometric code AGe(F,32P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OA(323, 33, F32, 3) (dual of [33, 30, 4]-code or 33-arc in PG(2,32) or 33-cap in PG(2,32)), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(3289, 1048577, F32, 23) (dual of [1048577, 1048488, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
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(32109, 95335, F32, 23, 23) (dual of [(95335, 23), 2192596, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |