Information on Result #912112
Linear OOA(2235, 135, F2, 2, 104) (dual of [(135, 2), 35, 105]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3220, 27, F32, 20) (dual of [27, 7, 21]-code or 27-arc in PG(19,32)), using
- discarding factors / shortening the dual code based on linear OA(3220, 32, F32, 20) (dual of [32, 12, 21]-code or 32-arc in PG(19,32)), using
- Reed–Solomon code RS(12,32) [i]
- discarding factors / shortening the dual code based on linear OA(3220, 32, F32, 20) (dual of [32, 12, 21]-code or 32-arc in PG(19,32)), using
- linear OOA(25, 5, F2, 2, 4) (dual of [(5, 2), 5, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,5P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, 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(2235, 135, F2, 2, 103) (dual of [(135, 2), 35, 104]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(2235, 135, F2, 2, 102) (dual of [(135, 2), 35, 103]-NRT-code) | [i] | ||
3 | Linear OOA(2235, 135, F2, 2, 101) (dual of [(135, 2), 35, 102]-NRT-code) | [i] | ||
4 | Linear OOA(2235, 135, F2, 2, 100) (dual of [(135, 2), 35, 101]-NRT-code) | [i] | ||
5 | Linear OOA(2237, 136, F2, 2, 104) (dual of [(136, 2), 35, 105]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
6 | Linear OOA(2239, 137, F2, 2, 104) (dual of [(137, 2), 35, 105]-NRT-code) | [i] | ||
7 | Linear OOA(2236, 135, F2, 2, 104) (dual of [(135, 2), 34, 105]-NRT-code) | [i] | OOA Duplication | |
8 | Linear OOA(2234, 134, F2, 2, 103) (dual of [(134, 2), 34, 104]-NRT-code) | [i] | Truncation for OOAs | |
9 | Linear OOA(2233, 134, F2, 2, 102) (dual of [(134, 2), 35, 103]-NRT-code) | [i] | ||
10 | Linear OOA(2232, 133, F2, 2, 101) (dual of [(133, 2), 34, 102]-NRT-code) | [i] | ||
11 | Linear OOA(2231, 133, F2, 2, 100) (dual of [(133, 2), 35, 101]-NRT-code) | [i] | ||
12 | Linear OOA(2235, 67, F2, 4, 104) (dual of [(67, 4), 33, 105]-NRT-code) | [i] | OOA Folding |