Information on Result #912887
Linear OOA(3230, 124, F3, 2, 149) (dual of [(124, 2), 18, 150]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2725, 31, F27, 24) (dual of [31, 6, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(2725, 38, F27, 24) (dual of [38, 13, 25]-code), using
- extended algebraic-geometric code AGe(F,13P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(2725, 38, F27, 24) (dual of [38, 13, 25]-code), using
- linear OOA(35, 4, F3, 2, 5) (dual of [(4, 2), 3, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,3) [i]
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(3230, 124, F3, 2, 148) (dual of [(124, 2), 18, 149]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(3230, 124, F3, 2, 147) (dual of [(124, 2), 18, 148]-NRT-code) | [i] | ||
3 | Linear OOA(3230, 124, F3, 2, 146) (dual of [(124, 2), 18, 147]-NRT-code) | [i] | ||
4 | Linear OOA(3230, 124, F3, 2, 145) (dual of [(124, 2), 18, 146]-NRT-code) | [i] | ||
5 | Linear OOA(3231, 124, F3, 2, 149) (dual of [(124, 2), 17, 150]-NRT-code) | [i] | OOA Duplication | |
6 | Linear OOA(3229, 123, F3, 2, 148) (dual of [(123, 2), 17, 149]-NRT-code) | [i] | Truncation for OOAs | |
7 | Linear OOA(3228, 123, F3, 2, 147) (dual of [(123, 2), 18, 148]-NRT-code) | [i] | ||
8 | Linear OOA(3227, 122, F3, 2, 146) (dual of [(122, 2), 17, 147]-NRT-code) | [i] | ||
9 | Linear OOA(3226, 122, F3, 2, 145) (dual of [(122, 2), 18, 146]-NRT-code) | [i] | ||
10 | Linear OOA(3225, 121, F3, 2, 144) (dual of [(121, 2), 17, 145]-NRT-code) | [i] | ||
11 | Linear OOA(3224, 121, F3, 2, 143) (dual of [(121, 2), 18, 144]-NRT-code) | [i] | ||
12 | Linear OOA(3223, 120, F3, 2, 142) (dual of [(120, 2), 17, 143]-NRT-code) | [i] | ||
13 | Linear OOA(3230, 62, F3, 4, 149) (dual of [(62, 4), 18, 150]-NRT-code) | [i] | OOA Folding |