Information on Result #642461
Linear OA(25103, 106, F25, 96) (dual of [106, 3, 97]-code), using juxtaposition based on
- linear OA(2523, 26, F25, 23) (dual of [26, 3, 24]-code or 26-arc in PG(22,25)), using
- extended Reed–Solomon code RSe(3,25) [i]
- the expurgated narrow-sense BCH-code C(I) with length 26 | 252−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- algebraic-geometric code AG(F,1P) with degPÂ =Â 2 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using the rational function field F25(x) [i]
- algebraic-geometric code AG(F, Q+0P) with degQ = 2 and degPÂ =Â 3 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26 (see above)
- linear OA(2577, 80, F25, 72) (dual of [80, 3, 73]-code), using
- juxtaposition [i] based on
- linear OA(2523, 26, F25, 23) (dual of [26, 3, 24]-code or 26-arc in PG(22,25)) (see above)
- linear OA(2551, 54, F25, 48) (dual of [54, 3, 49]-code), using
- juxtaposition [i] based on
- linear OA(2522, 25, F25, 22) (dual of [25, 3, 23]-code or 25-arc in PG(21,25)), using
- Reed–Solomon code RS(3,25) [i]
- linear OA(2526, 29, F25, 25) (dual of [29, 3, 26]-code), using
- construction X applied to C1 ⊂ C0 [i] based on
- linear OA(2525, 26, F25, 25) (dual of [26, 1, 26]-code or 26-arc in PG(24,25)), using code C1 for u = 2 by de Boer and Brouwer [i]
- linear OA(2523, 26, F25, 23) (dual of [26, 3, 24]-code or 26-arc in PG(22,25)), using code C0 for u = 2 by de Boer and Brouwer [i]
- linear OA(251, 3, F25, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C1 ⊂ C0 [i] based on
- linear OA(2522, 25, F25, 22) (dual of [25, 3, 23]-code or 25-arc in PG(21,25)), using
- juxtaposition [i] based on
- juxtaposition [i] based on
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 OA(25103, 106, F25, 95) (dual of [106, 3, 96]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(25103, 106, F25, 94) (dual of [106, 3, 95]-code) | [i] | ||
| 3 | Linear OOA(25103, 53, F25, 2, 96) (dual of [(53, 2), 3, 97]-NRT-code) | [i] | OOA Folding | |