Information on Result #610655
Linear OA(5118, 120, F5, 99) (dual of [120, 2, 100]-code), using repeating each code word 20 times 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5118, 120, F5, 98) (dual of [120, 2, 99]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5118, 120, F5, 97) (dual of [120, 2, 98]-code) | [i] | ||
| 3 | Linear OA(5117, 119, F5, 98) (dual of [119, 2, 99]-code) | [i] | Truncation | |
| 4 | Linear OA(5116, 118, F5, 97) (dual of [118, 2, 98]-code) | [i] | ||
| 5 | Linear OA(5115, 117, F5, 96) (dual of [117, 2, 97]-code) | [i] | ||
| 6 | Linear OA(5114, 116, F5, 95) (dual of [116, 2, 96]-code) | [i] | ||
| 7 | Linear OA(5113, 115, F5, 94) (dual of [115, 2, 95]-code) | [i] | ||
| 8 | Linear OA(5111, 113, F5, 92) (dual of [113, 2, 93]-code) | [i] | ||
| 9 | Linear OA(5110, 112, F5, 91) (dual of [112, 2, 92]-code) | [i] | ||
| 10 | Linear OA(5109, 111, F5, 90) (dual of [111, 2, 91]-code) | [i] | ||
| 11 | Linear OA(5108, 110, F5, 89) (dual of [110, 2, 90]-code) | [i] | ||
| 12 | Linear OA(5107, 109, F5, 88) (dual of [109, 2, 89]-code) | [i] | ||
| 13 | Linear OA(5105, 107, F5, 86) (dual of [107, 2, 87]-code) | [i] | ||
| 14 | Linear OA(5104, 106, F5, 85) (dual of [106, 2, 86]-code) | [i] | ||
| 15 | Linear OOA(5118, 60, F5, 2, 99) (dual of [(60, 2), 2, 100]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(5118, 40, F5, 3, 99) (dual of [(40, 3), 2, 100]-NRT-code) | [i] | ||