Information on Result #638119
Linear OA(5118, 130, F5, 83) (dual of [130, 12, 84]-code), using concatenation of two codes based on
- linear OA(2520, 26, F25, 20) (dual of [26, 6, 21]-code or 26-arc in PG(19,25)), using
- extended Reed–Solomon code RSe(6,25) [i]
- algebraic-geometric code AG(F, Q+1P) 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, Q+1P) 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(53, 5, F5, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,5) or 5-cap in PG(2,5)), using
- Reed–Solomon code RS(2,5) [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5118, 130, F5, 82) (dual of [130, 12, 83]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5118, 130, F5, 81) (dual of [130, 12, 82]-code) | [i] | ||
| 3 | Linear OA(5118, 130, F5, 80) (dual of [130, 12, 81]-code) | [i] | ||
| 4 | Linear OA(5117, 129, F5, 82) (dual of [129, 12, 83]-code) | [i] | Truncation | |
| 5 | Linear OA(5116, 128, F5, 81) (dual of [128, 12, 82]-code) | [i] | ||
| 6 | Linear OA(5115, 127, F5, 80) (dual of [127, 12, 81]-code) | [i] | ||
| 7 | Linear OA(5114, 126, F5, 79) (dual of [126, 12, 80]-code) | [i] | ||
| 8 | Linear OA(5112, 124, F5, 77) (dual of [124, 12, 78]-code) | [i] | ||
| 9 | Linear OA(5111, 123, F5, 76) (dual of [123, 12, 77]-code) | [i] | ||
| 10 | Linear OA(5110, 122, F5, 75) (dual of [122, 12, 76]-code) | [i] | ||
| 11 | Linear OA(5109, 121, F5, 74) (dual of [121, 12, 75]-code) | [i] | ||
| 12 | Linear OA(5107, 119, F5, 72) (dual of [119, 12, 73]-code) | [i] | ||
| 13 | Linear OOA(5118, 65, F5, 2, 83) (dual of [(65, 2), 12, 84]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(5118, 43, F5, 3, 83) (dual of [(43, 3), 11, 84]-NRT-code) | [i] | ||