Information on Result #610548
Linear OA(4133, 135, F4, 107) (dual of [135, 2, 108]-code), using repeating each code word 27 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(4133, 135, F4, 106) (dual of [135, 2, 107]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4133, 135, F4, 105) (dual of [135, 2, 106]-code) | [i] | ||
| 3 | Linear OA(4133, 135, F4, 104) (dual of [135, 2, 105]-code) | [i] | ||
| 4 | Linear OA(4133, 135, F4, 103) (dual of [135, 2, 104]-code) | [i] | ||
| 5 | Linear OA(4132, 134, F4, 106) (dual of [134, 2, 107]-code) | [i] | Truncation | |
| 6 | Linear OA(4131, 133, F4, 105) (dual of [133, 2, 106]-code) | [i] | ||
| 7 | Linear OA(4130, 132, F4, 104) (dual of [132, 2, 105]-code) | [i] | ||
| 8 | Linear OA(4129, 131, F4, 103) (dual of [131, 2, 104]-code) | [i] | ||
| 9 | Linear OA(4127, 129, F4, 101) (dual of [129, 2, 102]-code) | [i] | ||
| 10 | Linear OA(4126, 128, F4, 100) (dual of [128, 2, 101]-code) | [i] | ||
| 11 | Linear OA(4125, 127, F4, 99) (dual of [127, 2, 100]-code) | [i] | ||
| 12 | Linear OA(4124, 126, F4, 98) (dual of [126, 2, 99]-code) | [i] | ||
| 13 | Linear OA(4122, 124, F4, 96) (dual of [124, 2, 97]-code) | [i] | ||
| 14 | Linear OA(4121, 123, F4, 95) (dual of [123, 2, 96]-code) | [i] | ||
| 15 | Linear OA(4120, 122, F4, 94) (dual of [122, 2, 95]-code) | [i] | ||
| 16 | Linear OA(4119, 121, F4, 93) (dual of [121, 2, 94]-code) | [i] | ||
| 17 | Linear OA(4117, 119, F4, 91) (dual of [119, 2, 92]-code) | [i] | ||
| 18 | Linear OA(4116, 118, F4, 90) (dual of [118, 2, 91]-code) | [i] | ||
| 19 | Linear OA(4115, 117, F4, 89) (dual of [117, 2, 90]-code) | [i] | ||
| 20 | Linear OA(4114, 116, F4, 88) (dual of [116, 2, 89]-code) | [i] | ||
| 21 | Linear OOA(4133, 45, F4, 3, 107) (dual of [(45, 3), 2, 108]-NRT-code) | [i] | OOA Folding | |