Information on Result #2211167
Linear OA(5144, 156, F5, 103) (dual of [156, 12, 104]-code), using strength reduction 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(5143, 155, F5, 102) (dual of [155, 12, 103]-code) | [i] | Truncation | |
| 2 | Linear OA(5142, 154, F5, 101) (dual of [154, 12, 102]-code) | [i] | ||
| 3 | Linear OA(5141, 153, F5, 100) (dual of [153, 12, 101]-code) | [i] | ||
| 4 | Linear OA(5140, 152, F5, 99) (dual of [152, 12, 100]-code) | [i] | ||
| 5 | Linear OA(5139, 151, F5, 98) (dual of [151, 12, 99]-code) | [i] | ||
| 6 | Linear OA(5137, 149, F5, 96) (dual of [149, 12, 97]-code) | [i] | ||
| 7 | Linear OA(5136, 148, F5, 95) (dual of [148, 12, 96]-code) | [i] | ||
| 8 | Linear OA(5135, 147, F5, 94) (dual of [147, 12, 95]-code) | [i] | ||
| 9 | Linear OA(5134, 146, F5, 93) (dual of [146, 12, 94]-code) | [i] | ||
| 10 | Linear OA(5133, 145, F5, 92) (dual of [145, 12, 93]-code) | [i] | ||
| 11 | Linear OA(5131, 143, F5, 90) (dual of [143, 12, 91]-code) | [i] | ||
| 12 | Linear OOA(5144, 78, F5, 2, 103) (dual of [(78, 2), 12, 104]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(5144, 52, F5, 3, 103) (dual of [(52, 3), 12, 104]-NRT-code) | [i] | ||