Information on Result #916883
Linear OOA(4156, 111, F4, 2, 77) (dual of [(111, 2), 66, 78]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1641, 37, F16, 2, 38) (dual of [(37, 2), 33, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1641, 38, F16, 2, 38) (dual of [(38, 2), 35, 39]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,37P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OOA(1641, 38, F16, 2, 38) (dual of [(38, 2), 35, 39]-NRT-code), 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(4156, 111, F4, 2, 76) (dual of [(111, 2), 66, 77]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4157, 111, F4, 2, 77) (dual of [(111, 2), 65, 78]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(4155, 110, F4, 2, 76) (dual of [(110, 2), 65, 77]-NRT-code) | [i] | Truncation for OOAs | |