Information on Result #917651
Linear OOA(4226, 141, F4, 2, 123) (dual of [(141, 2), 56, 124]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1666, 47, F16, 2, 61) (dual of [(47, 2), 28, 62]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1666, 48, F16, 2, 61) (dual of [(48, 2), 30, 62]-NRT-code), using
- algebraic-geometric NRT-code AG(2;F,34P) [i] based on function field F/F16 with g(F) = 5 and N(F) ≥ 49, using
- discarding factors / shortening the dual code based on linear OOA(1666, 48, F16, 2, 61) (dual of [(48, 2), 30, 62]-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(4226, 141, F4, 2, 122) (dual of [(141, 2), 56, 123]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4227, 141, F4, 2, 123) (dual of [(141, 2), 55, 124]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(4225, 140, F4, 2, 122) (dual of [(140, 2), 55, 123]-NRT-code) | [i] | Truncation for OOAs | |