Information on Result #2444843
Linear OOA(4234, 120, F4, 2, 187) (dual of [(120, 2), 6, 188]-NRT-code), using strength reduction based on linear OOA(4234, 120, F4, 2, 188) (dual of [(120, 2), 6, 189]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1621, 24, F16, 20) (dual of [24, 3, 21]-code), using
- extended algebraic-geometric code AGe(F,3P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- linear OOA(48, 5, F4, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,4) [i]
- linear OA(1621, 24, F16, 20) (dual of [24, 3, 21]-code), using
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4236, 121, F4, 2, 187) (dual of [(121, 2), 6, 188]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4233, 119, F4, 2, 186) (dual of [(119, 2), 5, 187]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(4232, 119, F4, 2, 185) (dual of [(119, 2), 6, 186]-NRT-code) | [i] | ||
| 4 | Linear OOA(4231, 118, F4, 2, 184) (dual of [(118, 2), 5, 185]-NRT-code) | [i] | ||
| 5 | Linear OOA(4230, 118, F4, 2, 183) (dual of [(118, 2), 6, 184]-NRT-code) | [i] | ||
| 6 | Linear OOA(4228, 117, F4, 2, 181) (dual of [(117, 2), 6, 182]-NRT-code) | [i] | ||
| 7 | Linear OOA(4226, 116, F4, 2, 179) (dual of [(116, 2), 6, 180]-NRT-code) | [i] | ||
| 8 | Linear OOA(4223, 114, F4, 2, 176) (dual of [(114, 2), 5, 177]-NRT-code) | [i] | ||
| 9 | Linear OOA(4222, 114, F4, 2, 175) (dual of [(114, 2), 6, 176]-NRT-code) | [i] | ||
| 10 | Linear OOA(4220, 113, F4, 2, 173) (dual of [(113, 2), 6, 174]-NRT-code) | [i] | ||
| 11 | Linear OOA(4218, 112, F4, 2, 171) (dual of [(112, 2), 6, 172]-NRT-code) | [i] | ||