Information on Result #1029210
Linear OOA(257, 27, F2, 3, 29) (dual of [(27, 3), 24, 30]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(415, 9, F4, 3, 14) (dual of [(9, 3), 12, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,12P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(3;F,12P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 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(257, 27, F2, 3, 28) (dual of [(27, 3), 24, 29]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(257, 27, F2, 3, 27) (dual of [(27, 3), 24, 28]-NRT-code) | [i] | ||
| 3 | Linear OOA(257, 27, F2, 3, 26) (dual of [(27, 3), 24, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(260, 28, F2, 3, 29) (dual of [(28, 3), 24, 30]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(258, 27, F2, 3, 29) (dual of [(27, 3), 23, 30]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(256, 26, F2, 3, 28) (dual of [(26, 3), 22, 29]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(257, 13, F2, 5, 29) (dual of [(13, 5), 8, 30]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(257, 13, F2, 6, 29) (dual of [(13, 6), 21, 30]-NRT-code) | [i] | ||