Information on Result #916705
Linear OOA(4106, 72, F4, 2, 57) (dual of [(72, 2), 38, 58]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1629, 24, F16, 2, 28) (dual of [(24, 2), 19, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,19P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- linear OA(41, 3, F4, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(4106, 72, F4, 2, 56) (dual of [(72, 2), 38, 57]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4108, 73, F4, 2, 57) (dual of [(73, 2), 38, 58]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(4107, 72, F4, 2, 57) (dual of [(72, 2), 37, 58]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(4105, 71, F4, 2, 56) (dual of [(71, 2), 37, 57]-NRT-code) | [i] | Truncation for OOAs | |