Information on Result #2442901
Linear OOA(4201, 103, F4, 2, 162) (dual of [(103, 2), 5, 163]-NRT-code), using strength reduction based on linear OOA(4201, 103, F4, 2, 163) (dual of [(103, 2), 5, 164]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(423, 14, F4, 2, 20) (dual of [(14, 2), 5, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,7P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- linear OOA(4173, 89, F4, 2, 142) (dual of [(89, 2), 5, 143]-NRT-code), using
- 1 step truncation [i] based on linear OOA(4174, 90, F4, 2, 143) (dual of [(90, 2), 6, 144]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1615, 18, F16, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,16)), using
- Denniston code D(1,16) [i]
- 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(1615, 18, F16, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,16)), using
- concatenation of two NRT-codes [i] based on
- 1 step truncation [i] based on linear OOA(4174, 90, F4, 2, 143) (dual of [(90, 2), 6, 144]-NRT-code), using
- linear OOA(423, 14, F4, 2, 20) (dual of [(14, 2), 5, 21]-NRT-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(4219, 112, F4, 2, 175) (dual of [(112, 2), 5, 176]-NRT-code) | [i] | Juxtaposition for OOAs | |