Information on Result #917901
Linear OOA(4156, 92, F4, 2, 95) (dual of [(92, 2), 28, 96]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1632, 23, F16, 2, 31) (dual of [(23, 2), 14, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1632, 24, F16, 2, 31) (dual of [(24, 2), 16, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,16P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(1632, 24, F16, 2, 31) (dual of [(24, 2), 16, 32]-NRT-code), using
- linear OA(42, 4, F4, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), using
- Reed–Solomon code RS(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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4156, 92, F4, 2, 94) (dual of [(92, 2), 28, 95]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4156, 92, F4, 2, 93) (dual of [(92, 2), 28, 94]-NRT-code) | [i] | ||
| 3 | Linear OOA(4157, 92, F4, 2, 95) (dual of [(92, 2), 27, 96]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(4155, 91, F4, 2, 94) (dual of [(91, 2), 27, 95]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(4154, 91, F4, 2, 93) (dual of [(91, 2), 28, 94]-NRT-code) | [i] | ||
| 6 | Linear OOA(4153, 90, F4, 2, 92) (dual of [(90, 2), 27, 93]-NRT-code) | [i] | ||
| 7 | Linear OOA(4152, 90, F4, 2, 91) (dual of [(90, 2), 28, 92]-NRT-code) | [i] | ||
| 8 | Linear OOA(4151, 89, F4, 2, 90) (dual of [(89, 2), 27, 91]-NRT-code) | [i] | ||
| 9 | Linear OOA(4150, 89, F4, 2, 89) (dual of [(89, 2), 28, 90]-NRT-code) | [i] | ||
| 10 | Linear OOA(4149, 88, F4, 2, 88) (dual of [(88, 2), 27, 89]-NRT-code) | [i] | ||