Information on Result #1084566
Linear OOA(3248, 88, F3, 4, 113) (dual of [(88, 4), 104, 114]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(352, 28, F3, 4, 37) (dual of [(28, 4), 60, 38]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,74P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- linear OOA(377, 30, F3, 4, 56) (dual of [(30, 4), 43, 57]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(377, 31, F3, 4, 56) (dual of [(31, 4), 47, 57]-NRT-code), using
- algebraic-geometric NRT-code AG(4;F,67P) [i] based on function field F/F3 with g(F) = 21 and N(F) ≥ 32, using
- discarding factors / shortening the dual code based on linear OOA(377, 31, F3, 4, 56) (dual of [(31, 4), 47, 57]-NRT-code), using
- linear OOA(3119, 30, F3, 4, 113) (dual of [(30, 4), 1, 114]-NRT-code), using
- strength reduction [i] based on linear OOA(3119, 30, F3, 4, 119) (dual of [(30, 4), 1, 120]-NRT-code), using
- dual of repetition NRT-code with length 30 [i]
- strength reduction [i] based on linear OOA(3119, 30, F3, 4, 119) (dual of [(30, 4), 1, 120]-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(3248, 88, F3, 4, 112) (dual of [(88, 4), 104, 113]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3249, 88, F3, 4, 113) (dual of [(88, 4), 103, 114]-NRT-code) | [i] | OOA Duplication | |