Information on Result #1028885
Linear OOA(2237, 99, F2, 3, 109) (dual of [(99, 3), 60, 110]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3221, 33, F32, 21) (dual of [33, 12, 22]-code or 33-arc in PG(20,32)), using
- extended Reed–Solomon code RSe(12,32) [i]
- the expurgated narrow-sense BCH-code C(I) with length 33 | 322−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OOA(24, 3, F2, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;5,2) [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(2237, 99, F2, 3, 108) (dual of [(99, 3), 60, 109]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2237, 99, F2, 3, 107) (dual of [(99, 3), 60, 108]-NRT-code) | [i] | ||
| 3 | Linear OOA(2237, 99, F2, 3, 106) (dual of [(99, 3), 60, 107]-NRT-code) | [i] | ||
| 4 | Linear OOA(2240, 100, F2, 3, 109) (dual of [(100, 3), 60, 110]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2243, 101, F2, 3, 109) (dual of [(101, 3), 60, 110]-NRT-code) | [i] | ||
| 6 | Linear OOA(2246, 102, F2, 3, 109) (dual of [(102, 3), 60, 110]-NRT-code) | [i] | ||
| 7 | Linear OOA(2249, 103, F2, 3, 109) (dual of [(103, 3), 60, 110]-NRT-code) | [i] | ||
| 8 | Linear OOA(2238, 99, F2, 3, 109) (dual of [(99, 3), 59, 110]-NRT-code) | [i] | OOA Duplication | |
| 9 | Linear OOA(2236, 98, F2, 3, 108) (dual of [(98, 3), 58, 109]-NRT-code) | [i] | Truncation for OOAs | |
| 10 | Linear OOA(2237, 49, F2, 6, 109) (dual of [(49, 6), 57, 110]-NRT-code) | [i] | OOA Folding | |