Information on Result #638073
Linear OA(5150, 172, F5, 89) (dual of [172, 22, 90]-code), using concatenation of two codes based on
- linear OA(2532, 43, F25, 29) (dual of [43, 11, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(2532, 52, F25, 29) (dual of [52, 20, 30]-code), using
- extended algebraic-geometric code AGe(F,22P) [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 52, using
- discarding factors / shortening the dual code based on linear OA(2532, 52, F25, 29) (dual of [52, 20, 30]-code), using
- linear OA(52, 4, F5, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,5)), using
- discarding factors / shortening the dual code based on linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using
- Reed–Solomon code RS(3,5) [i]
- discarding factors / shortening the dual code based on linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), 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(5150, 172, F5, 88) (dual of [172, 22, 89]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5150, 172, F5, 87) (dual of [172, 22, 88]-code) | [i] | ||
| 3 | Linear OA(5149, 171, F5, 88) (dual of [171, 22, 89]-code) | [i] | Truncation | |
| 4 | Linear OA(5148, 170, F5, 87) (dual of [170, 22, 88]-code) | [i] | ||
| 5 | Linear OA(5147, 169, F5, 86) (dual of [169, 22, 87]-code) | [i] | ||
| 6 | Linear OA(5145, 167, F5, 84) (dual of [167, 22, 85]-code) | [i] | ||
| 7 | Linear OOA(5150, 86, F5, 2, 89) (dual of [(86, 2), 22, 90]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(5150, 57, F5, 3, 89) (dual of [(57, 3), 21, 90]-NRT-code) | [i] | ||