Information on Result #627360
Linear OA(2574, 78, F25, 68) (dual of [78, 4, 69]-code), using repeating each code word 3 times based on linear OA(2522, 26, F25, 22) (dual of [26, 4, 23]-code or 26-arc in PG(21,25)), using
- extended Reed–Solomon code RSe(4,25) [i]
- algebraic-geometric code AG(F, Q+0P) 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]
- algebraic-geometric code AG(F,1P) with degPÂ =Â 3 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26 (see above)
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(2574, 78, F25, 67) (dual of [78, 4, 68]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2573, 77, F25, 67) (dual of [77, 4, 68]-code) | [i] | Truncation | |
| 3 | Linear OA(2572, 76, F25, 66) (dual of [76, 4, 67]-code) | [i] | ||
| 4 | Linear OA(2570, 74, F25, 64) (dual of [74, 4, 65]-code) | [i] | ||
| 5 | Linear OA(2569, 73, F25, 63) (dual of [73, 4, 64]-code) | [i] | ||
| 6 | Linear OA(2567, 71, F25, 61) (dual of [71, 4, 62]-code) | [i] | ||
| 7 | Linear OA(2566, 70, F25, 60) (dual of [70, 4, 61]-code) | [i] | ||
| 8 | Linear OOA(2574, 39, F25, 2, 68) (dual of [(39, 2), 4, 69]-NRT-code) | [i] | OOA Folding | |