Information on Result #941929
Linear OOA(4217, 111, F4, 2, 174) (dual of [(111, 2), 5, 175]-NRT-code), using juxtaposition based on
- linear OOA(421, 13, F4, 2, 18) (dual of [(13, 2), 5, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(421, 14, F4, 2, 18) (dual of [(14, 2), 7, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,9P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(421, 14, F4, 2, 18) (dual of [(14, 2), 7, 19]-NRT-code), using
- linear OOA(4191, 98, F4, 2, 155) (dual of [(98, 2), 5, 156]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(413, 9, F4, 2, 12) (dual of [(9, 2), 5, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,5P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(2;F,5P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, 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(413, 9, F4, 2, 12) (dual of [(9, 2), 5, 13]-NRT-code), using
- juxtaposition [i] based on
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(4217, 111, F4, 2, 173) (dual of [(111, 2), 5, 174]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4217, 111, F4, 2, 172) (dual of [(111, 2), 5, 173]-NRT-code) | [i] | ||
| 3 | Linear OOA(4217, 111, F4, 2, 171) (dual of [(111, 2), 5, 172]-NRT-code) | [i] | ||
| 4 | Linear OOA(4217, 111, F4, 2, 170) (dual of [(111, 2), 5, 171]-NRT-code) | [i] | ||
| 5 | Linear OOA(4217, 111, F4, 2, 169) (dual of [(111, 2), 5, 170]-NRT-code) | [i] | ||
| 6 | Linear OOA(4217, 111, F4, 2, 168) (dual of [(111, 2), 5, 169]-NRT-code) | [i] | ||
| 7 | Linear OOA(4217, 111, F4, 2, 167) (dual of [(111, 2), 5, 168]-NRT-code) | [i] | ||
| 8 | Linear OOA(4217, 111, F4, 2, 166) (dual of [(111, 2), 5, 167]-NRT-code) | [i] | ||
| 9 | Linear OOA(4245, 125, F4, 2, 195) (dual of [(125, 2), 5, 196]-NRT-code) | [i] | Juxtaposition for OOAs | |