Information on Result #2623865
Linear OOA(3162, 84, F3, 3, 72) (dual of [(84, 3), 90, 73]-NRT-code), using strength reduction based on linear OOA(3162, 84, F3, 3, 73) (dual of [(84, 3), 90, 74]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(939, 28, F9, 3, 36) (dual of [(28, 3), 45, 37]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,47P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric NRT-code AGe(3;F,47P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OA(31, 3, F3, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OOA(939, 28, F9, 3, 36) (dual of [(28, 3), 45, 37]-NRT-code), 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(3165, 85, F3, 3, 72) (dual of [(85, 3), 90, 73]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3163, 84, F3, 3, 72) (dual of [(84, 3), 89, 73]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3162, 42, F3, 5, 72) (dual of [(42, 5), 48, 73]-NRT-code) | [i] | OOA Folding | |