Information on Result #657181
Linear OA(255, 29, F25, 4) (dual of [29, 24, 5]-code), using construction X applied to AG(F, Q+9P) ⊂ AG(F, Q+10P) based on
- linear OA(254, 26, F25, 4) (dual of [26, 22, 5]-code or 26-arc in PG(3,25)), using algebraic-geometric code AG(F, Q+9P) with degQ = 3 and 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(252, 26, F25, 2) (dual of [26, 24, 3]-code or 26-arc in PG(1,25)), using algebraic-geometric code AG(F, Q+10P) with degQ = 3 and 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(2522, 655, F25, 9) (dual of [655, 633, 10]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2530, 15655, F25, 9) (dual of [15655, 15625, 10]-code) | [i] | ||
| 3 | Linear OA(2538, 390655, F25, 9) (dual of [390655, 390617, 10]-code) | [i] | ||
| 4 | Linear OA(2520, 654, F25, 8) (dual of [654, 634, 9]-code) | [i] | ||
| 5 | Linear OA(2527, 15654, F25, 8) (dual of [15654, 15627, 9]-code) | [i] | ||
| 6 | Linear OA(2534, 390654, F25, 8) (dual of [390654, 390620, 9]-code) | [i] | ||
| 7 | Linear OA(2522, 657, F25, 9) (dual of [657, 635, 10]-code) | [i] | ||
| 8 | Linear OA(2530, 15657, F25, 9) (dual of [15657, 15627, 10]-code) | [i] | ||
| 9 | Linear OA(2538, 390658, F25, 9) (dual of [390658, 390620, 10]-code) | [i] | ||
| 10 | Linear OA(2520, 657, F25, 8) (dual of [657, 637, 9]-code) | [i] | ||
| 11 | Linear OA(2527, 15657, F25, 8) (dual of [15657, 15630, 9]-code) | [i] | ||
| 12 | Linear OA(2534, 390658, F25, 8) (dual of [390658, 390624, 9]-code) | [i] | ||
| 13 | Linear OA(25110, 390655, F25, 26) (dual of [390655, 390545, 27]-code) | [i] | Construction X with Cyclic Codes | |
| 14 | Linear OA(25102, 390655, F25, 24) (dual of [390655, 390553, 25]-code) | [i] | ||
| 15 | Linear OA(2594, 390655, F25, 22) (dual of [390655, 390561, 23]-code) | [i] | ||
| 16 | Linear OA(2586, 390655, F25, 20) (dual of [390655, 390569, 21]-code) | [i] | ||
| 17 | Linear OA(2578, 390655, F25, 18) (dual of [390655, 390577, 19]-code) | [i] | ||
| 18 | Linear OA(2570, 390655, F25, 16) (dual of [390655, 390585, 17]-code) | [i] | ||