Information on Result #941874
Linear OOA(4180, 93, F4, 2, 144) (dual of [(93, 2), 6, 145]-NRT-code), using juxtaposition based on
- linear OOA(410, 8, F4, 2, 9) (dual of [(8, 2), 6, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(410, 9, F4, 2, 9) (dual of [(9, 2), 8, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,8P) [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,8P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- discarding factors / shortening the dual code based on linear OOA(410, 9, F4, 2, 9) (dual of [(9, 2), 8, 10]-NRT-code), using
- linear OOA(4164, 85, F4, 2, 134) (dual of [(85, 2), 6, 135]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1614, 17, F16, 14) (dual of [17, 3, 15]-code or 17-arc in PG(13,16)), using
- extended Reed–Solomon code RSe(3,16) [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(1614, 17, F16, 14) (dual of [17, 3, 15]-code or 17-arc in PG(13,16)), using
- concatenation of two NRT-codes [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(4180, 93, F4, 2, 143) (dual of [(93, 2), 6, 144]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4180, 93, F4, 2, 142) (dual of [(93, 2), 6, 143]-NRT-code) | [i] | ||
| 3 | Linear OOA(4180, 93, F4, 2, 141) (dual of [(93, 2), 6, 142]-NRT-code) | [i] | ||
| 4 | Linear OOA(4180, 93, F4, 2, 140) (dual of [(93, 2), 6, 141]-NRT-code) | [i] | ||
| 5 | Linear OOA(4180, 93, F4, 2, 139) (dual of [(93, 2), 6, 140]-NRT-code) | [i] | ||
| 6 | Linear OOA(4180, 93, F4, 2, 138) (dual of [(93, 2), 6, 139]-NRT-code) | [i] | ||
| 7 | Linear OOA(4180, 93, F4, 2, 137) (dual of [(93, 2), 6, 138]-NRT-code) | [i] | ||
| 8 | Linear OOA(4180, 93, F4, 2, 136) (dual of [(93, 2), 6, 137]-NRT-code) | [i] | ||
| 9 | Linear OOA(4196, 101, F4, 2, 154) (dual of [(101, 2), 6, 155]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 10 | Linear OOA(4198, 102, F4, 2, 156) (dual of [(102, 2), 6, 157]-NRT-code) | [i] | ||