Information on Result #661552
Linear OA(5150, 168, F5, 94) (dual of [168, 18, 95]-code), using concatenation of two codes based on
- linear OA(2519, 28, F25, 18) (dual of [28, 9, 19]-code), using
- construction X applied to RS(7,25) ⊂ RS(9,25) [i] based on
- linear OA(2518, 25, F25, 18) (dual of [25, 7, 19]-code or 25-arc in PG(17,25)), using Reed–Solomon code RS(7,25) [i]
- linear OA(2516, 25, F25, 16) (dual of [25, 9, 17]-code or 25-arc in PG(15,25)), using Reed–Solomon code RS(9,25) [i]
- linear OA(251, 3, F25, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to RS(7,25) ⊂ RS(9,25) [i] based on
- 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]
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, 168, F5, 93) (dual of [168, 18, 94]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5149, 167, F5, 93) (dual of [167, 18, 94]-code) | [i] | Truncation | |
| 3 | Linear OA(5148, 166, F5, 92) (dual of [166, 18, 93]-code) | [i] | ||
| 4 | Linear OA(5147, 165, F5, 91) (dual of [165, 18, 92]-code) | [i] | ||
| 5 | Linear OA(5146, 164, F5, 90) (dual of [164, 18, 91]-code) | [i] | ||
| 6 | Linear OA(5145, 163, F5, 89) (dual of [163, 18, 90]-code) | [i] | ||
| 7 | Linear OA(5144, 162, F5, 88) (dual of [162, 18, 89]-code) | [i] | ||
| 8 | Linear OA(5143, 161, F5, 87) (dual of [161, 18, 88]-code) | [i] | ||
| 9 | Linear OA(5141, 159, F5, 85) (dual of [159, 18, 86]-code) | [i] | ||
| 10 | Linear OOA(5150, 84, F5, 2, 94) (dual of [(84, 2), 18, 95]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(5150, 56, F5, 3, 94) (dual of [(56, 3), 18, 95]-NRT-code) | [i] | ||