Information on Result #2246432
Linear OA(5143, 155, F5, 103) (dual of [155, 12, 104]-code), using 1 times truncation based on linear OA(5144, 156, F5, 104) (dual of [156, 12, 105]-code), using
- concatenation of two codes [i] 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(54, 6, F5, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,5)), using
- extended Reed–Solomon code RSe(2,5) [i]
- Simplex code S(2,5) [i]
- linear OA(2520, 26, F25, 20) (dual of [26, 6, 21]-code or 26-arc in PG(19,25)), 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(5145, 157, F5, 103) (dual of [157, 12, 104]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(5146, 158, F5, 103) (dual of [158, 12, 104]-code) | [i] | ||
| 3 | Linear OA(5147, 159, F5, 103) (dual of [159, 12, 104]-code) | [i] | ||
| 4 | Linear OA(5148, 160, F5, 103) (dual of [160, 12, 104]-code) | [i] | ||
| 5 | Linear OA(5149, 161, F5, 103) (dual of [161, 12, 104]-code) | [i] | ||
| 6 | Linear OA(5150, 162, F5, 103) (dual of [162, 12, 104]-code) | [i] | ||
| 7 | Linear OOA(5143, 77, F5, 2, 103) (dual of [(77, 2), 11, 104]-NRT-code) | [i] | OOA Folding | |