Information on Result #657152
Linear OA(2514, 29, F25, 13) (dual of [29, 15, 14]-code), using construction X applied to AG(F,6P) ⊂ AG(F,7P) based on
- linear OA(2513, 26, F25, 13) (dual of [26, 13, 14]-code or 26-arc in PG(12,25)), using algebraic-geometric code AG(F,6P) 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]
- linear OA(2511, 26, F25, 11) (dual of [26, 15, 12]-code or 26-arc in PG(10,25)), using algebraic-geometric code AG(F,7P) with degPÂ =Â 2 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26 (see above)
- 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
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(2564, 654, F25, 27) (dual of [654, 590, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2590, 15654, F25, 27) (dual of [15654, 15564, 28]-code) | [i] | ||
| 3 | Linear OA(2563, 654, F25, 26) (dual of [654, 591, 27]-code) | [i] | ||
| 4 | Linear OA(2587, 15654, F25, 26) (dual of [15654, 15567, 27]-code) | [i] | ||
| 5 | Linear OA(25110, 229, F25, 70) (dual of [229, 119, 71]-code) | [i] | Construction XX with a Chain of Algebraic-Geometric Codes | |
| 6 | Linear OA(25109, 229, F25, 69) (dual of [229, 120, 70]-code) | [i] | ||
| 7 | Linear OA(25108, 229, F25, 68) (dual of [229, 121, 69]-code) | [i] | ||
| 8 | Linear OA(25107, 229, F25, 67) (dual of [229, 122, 68]-code) | [i] | ||
| 9 | Linear OA(25106, 229, F25, 66) (dual of [229, 123, 67]-code) | [i] | ||
| 10 | Linear OA(25105, 229, F25, 65) (dual of [229, 124, 66]-code) | [i] | ||
| 11 | Linear OA(25104, 229, F25, 64) (dual of [229, 125, 65]-code) | [i] | ||
| 12 | Linear OA(25103, 229, F25, 63) (dual of [229, 126, 64]-code) | [i] | ||
| 13 | Linear OA(25102, 229, F25, 62) (dual of [229, 127, 63]-code) | [i] | ||
| 14 | Linear OA(25101, 229, F25, 61) (dual of [229, 128, 62]-code) | [i] | ||
| 15 | Linear OA(25100, 229, F25, 60) (dual of [229, 129, 61]-code) | [i] | ||
| 16 | Linear OA(2599, 229, F25, 59) (dual of [229, 130, 60]-code) | [i] | ||
| 17 | Linear OA(2598, 229, F25, 58) (dual of [229, 131, 59]-code) | [i] | ||
| 18 | Linear OA(2597, 229, F25, 57) (dual of [229, 132, 58]-code) | [i] | ||
| 19 | Linear OA(2596, 229, F25, 56) (dual of [229, 133, 57]-code) | [i] | ||
| 20 | Linear OA(2595, 229, F25, 55) (dual of [229, 134, 56]-code) | [i] | ||
| 21 | Linear OA(2594, 229, F25, 54) (dual of [229, 135, 55]-code) | [i] | ||
| 22 | Linear OA(2573, 680, F25, 27) (dual of [680, 607, 28]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 23 | Linear OA(2574, 683, F25, 27) (dual of [683, 609, 28]-code) | [i] | ||
| 24 | Linear OA(2599, 15680, F25, 27) (dual of [15680, 15581, 28]-code) | [i] | ||
| 25 | Linear OA(25100, 15683, F25, 27) (dual of [15683, 15583, 28]-code) | [i] | ||
| 26 | Linear OA(2571, 680, F25, 26) (dual of [680, 609, 27]-code) | [i] | ||
| 27 | Linear OA(2595, 15680, F25, 26) (dual of [15680, 15585, 27]-code) | [i] | ||
| 28 | Linear OA(2596, 15683, F25, 26) (dual of [15683, 15587, 27]-code) | [i] | ||