Information on Result #635119
Linear OA(4191, 205, F4, 123) (dual of [205, 14, 124]-code), using concatenation of two codes based on
- linear OA(1634, 41, F16, 30) (dual of [41, 7, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(1634, 45, F16, 30) (dual of [45, 11, 31]-code), using
- extended algebraic-geometric code AGe(F,14P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- discarding factors / shortening the dual code based on linear OA(1634, 45, F16, 30) (dual of [45, 11, 31]-code), using
- 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(4191, 205, F4, 122) (dual of [205, 14, 123]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4190, 204, F4, 122) (dual of [204, 14, 123]-code) | [i] | Truncation | |
| 3 | Linear OA(4189, 203, F4, 121) (dual of [203, 14, 122]-code) | [i] | ||
| 4 | Linear OA(4188, 202, F4, 120) (dual of [202, 14, 121]-code) | [i] | ||
| 5 | Linear OA(4187, 201, F4, 119) (dual of [201, 14, 120]-code) | [i] | ||
| 6 | Linear OA(4185, 199, F4, 117) (dual of [199, 14, 118]-code) | [i] | ||
| 7 | Linear OA(4184, 198, F4, 116) (dual of [198, 14, 117]-code) | [i] | ||
| 8 | Linear OOA(4191, 102, F4, 2, 123) (dual of [(102, 2), 13, 124]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(4191, 68, F4, 3, 123) (dual of [(68, 3), 13, 124]-NRT-code) | [i] | ||