Information on Result #610550
Linear OA(4123, 125, F4, 99) (dual of [125, 2, 100]-code), using repeating each code word 25 times based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [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(4123, 125, F4, 98) (dual of [125, 2, 99]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4123, 125, F4, 97) (dual of [125, 2, 98]-code) | [i] | ||
| 3 | Linear OA(4123, 125, F4, 96) (dual of [125, 2, 97]-code) | [i] | ||
| 4 | Linear OA(4122, 124, F4, 98) (dual of [124, 2, 99]-code) | [i] | Truncation | |
| 5 | Linear OA(4121, 123, F4, 97) (dual of [123, 2, 98]-code) | [i] | ||
| 6 | Linear OA(4120, 122, F4, 96) (dual of [122, 2, 97]-code) | [i] | ||
| 7 | Linear OA(4119, 121, F4, 95) (dual of [121, 2, 96]-code) | [i] | ||
| 8 | Linear OA(4117, 119, F4, 93) (dual of [119, 2, 94]-code) | [i] | ||
| 9 | Linear OA(4116, 118, F4, 92) (dual of [118, 2, 93]-code) | [i] | ||
| 10 | Linear OA(4115, 117, F4, 91) (dual of [117, 2, 92]-code) | [i] | ||
| 11 | Linear OA(4114, 116, F4, 90) (dual of [116, 2, 91]-code) | [i] | ||
| 12 | Linear OA(4112, 114, F4, 88) (dual of [114, 2, 89]-code) | [i] | ||
| 13 | Linear OA(4111, 113, F4, 87) (dual of [113, 2, 88]-code) | [i] | ||
| 14 | Linear OA(4110, 112, F4, 86) (dual of [112, 2, 87]-code) | [i] | ||
| 15 | Linear OA(4109, 111, F4, 85) (dual of [111, 2, 86]-code) | [i] | ||
| 16 | Linear OA(4107, 109, F4, 83) (dual of [109, 2, 84]-code) | [i] | ||
| 17 | Linear OA(4106, 108, F4, 82) (dual of [108, 2, 83]-code) | [i] | ||
| 18 | Linear OA(4105, 107, F4, 81) (dual of [107, 2, 82]-code) | [i] | ||
| 19 | Linear OA(4104, 106, F4, 80) (dual of [106, 2, 81]-code) | [i] | ||