Information on Result #2246093
Linear OA(5146, 154, F5, 112) (dual of [154, 8, 113]-code), using 2 times truncation based on linear OA(5148, 156, F5, 114) (dual of [156, 8, 115]-code), using
- concatenation of two codes [i] 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)
- 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(2522, 26, F25, 22) (dual of [26, 4, 23]-code or 26-arc in PG(21,25)), 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(5149, 157, F5, 112) (dual of [157, 8, 113]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(5150, 158, F5, 112) (dual of [158, 8, 113]-code) | [i] | ||
| 3 | Linear OOA(5146, 77, F5, 2, 112) (dual of [(77, 2), 8, 113]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(5146, 51, F5, 3, 112) (dual of [(51, 3), 7, 113]-NRT-code) | [i] | ||