Information on Result #912097
Linear OOA(2215, 125, F2, 2, 94) (dual of [(125, 2), 35, 95]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3218, 25, F32, 18) (dual of [25, 7, 19]-code or 25-arc in PG(17,32)), using
- discarding factors / shortening the dual code based on linear OA(3218, 32, F32, 18) (dual of [32, 14, 19]-code or 32-arc in PG(17,32)), using
- Reed–Solomon code RS(14,32) [i]
- discarding factors / shortening the dual code based on linear OA(3218, 32, F32, 18) (dual of [32, 14, 19]-code or 32-arc in PG(17,32)), 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(2215, 125, F2, 2, 93) (dual of [(125, 2), 35, 94]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2215, 125, F2, 2, 92) (dual of [(125, 2), 35, 93]-NRT-code) | [i] | ||
| 3 | Linear OOA(2215, 125, F2, 2, 91) (dual of [(125, 2), 35, 92]-NRT-code) | [i] | ||
| 4 | Linear OOA(2217, 126, F2, 2, 94) (dual of [(126, 2), 35, 95]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2216, 125, F2, 2, 94) (dual of [(125, 2), 34, 95]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2214, 124, F2, 2, 93) (dual of [(124, 2), 34, 94]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(2213, 124, F2, 2, 92) (dual of [(124, 2), 35, 93]-NRT-code) | [i] | ||
| 8 | Linear OOA(2212, 123, F2, 2, 91) (dual of [(123, 2), 34, 92]-NRT-code) | [i] | ||
| 9 | Linear OOA(2211, 123, F2, 2, 90) (dual of [(123, 2), 35, 91]-NRT-code) | [i] | ||
| 10 | Linear OOA(2215, 62, F2, 4, 94) (dual of [(62, 4), 33, 95]-NRT-code) | [i] | OOA Folding | |