Information on Result #610654
Linear OA(5124, 126, F5, 104) (dual of [126, 2, 105]-code), using repeating each code word 21 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(5124, 126, F5, 103) (dual of [126, 2, 104]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5124, 126, F5, 102) (dual of [126, 2, 103]-code) | [i] | ||
| 3 | Linear OA(5124, 126, F5, 101) (dual of [126, 2, 102]-code) | [i] | ||
| 4 | Linear OA(5123, 125, F5, 103) (dual of [125, 2, 104]-code) | [i] | Truncation | |
| 5 | Linear OA(5122, 124, F5, 102) (dual of [124, 2, 103]-code) | [i] | ||
| 6 | Linear OA(5121, 123, F5, 101) (dual of [123, 2, 102]-code) | [i] | ||
| 7 | Linear OA(5120, 122, F5, 100) (dual of [122, 2, 101]-code) | [i] | ||
| 8 | Linear OA(5119, 121, F5, 99) (dual of [121, 2, 100]-code) | [i] | ||
| 9 | Linear OA(5117, 119, F5, 97) (dual of [119, 2, 98]-code) | [i] | ||
| 10 | Linear OA(5116, 118, F5, 96) (dual of [118, 2, 97]-code) | [i] | ||
| 11 | Linear OA(5115, 117, F5, 95) (dual of [117, 2, 96]-code) | [i] | ||
| 12 | Linear OA(5114, 116, F5, 94) (dual of [116, 2, 95]-code) | [i] | ||
| 13 | Linear OA(5113, 115, F5, 93) (dual of [115, 2, 94]-code) | [i] | ||
| 14 | Linear OA(5111, 113, F5, 91) (dual of [113, 2, 92]-code) | [i] | ||
| 15 | Linear OA(5110, 112, F5, 90) (dual of [112, 2, 91]-code) | [i] | ||
| 16 | Linear OOA(5124, 63, F5, 2, 104) (dual of [(63, 2), 2, 105]-NRT-code) | [i] | OOA Folding | |
| 17 | Linear OOA(5124, 42, F5, 3, 104) (dual of [(42, 3), 2, 105]-NRT-code) | [i] | ||