Information on Result #913365
Linear OOA(4176, 92, F4, 2, 132) (dual of [(92, 2), 8, 133]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1619, 23, F16, 18) (dual of [23, 4, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(1619, 24, F16, 18) (dual of [24, 5, 19]-code), using
- extended algebraic-geometric code AGe(F,5P) [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 OA(1619, 24, F16, 18) (dual of [24, 5, 19]-code), using
- linear OOA(46, 4, F4, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;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(4176, 92, F4, 2, 131) (dual of [(92, 2), 8, 132]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4176, 92, F4, 2, 130) (dual of [(92, 2), 8, 131]-NRT-code) | [i] | ||
| 3 | Linear OOA(4176, 92, F4, 2, 129) (dual of [(92, 2), 8, 130]-NRT-code) | [i] | ||
| 4 | Linear OOA(4176, 92, F4, 2, 128) (dual of [(92, 2), 8, 129]-NRT-code) | [i] | ||
| 5 | Linear OOA(4175, 91, F4, 2, 131) (dual of [(91, 2), 7, 132]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(4174, 91, F4, 2, 130) (dual of [(91, 2), 8, 131]-NRT-code) | [i] | ||
| 7 | Linear OOA(4173, 90, F4, 2, 129) (dual of [(90, 2), 7, 130]-NRT-code) | [i] | ||
| 8 | Linear OOA(4172, 90, F4, 2, 128) (dual of [(90, 2), 8, 129]-NRT-code) | [i] | ||