Information on Result #1028854
Linear OOA(2227, 99, F2, 3, 99) (dual of [(99, 3), 70, 100]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3219, 33, F32, 19) (dual of [33, 14, 20]-code or 33-arc in PG(18,32)), using
- extended Reed–Solomon code RSe(14,32) [i]
- the expurgated narrow-sense BCH-code C(I) with length 33 | 322−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(2227, 99, F2, 3, 98) (dual of [(99, 3), 70, 99]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2227, 99, F2, 3, 97) (dual of [(99, 3), 70, 98]-NRT-code) | [i] | ||
| 3 | Linear OOA(2227, 99, F2, 3, 96) (dual of [(99, 3), 70, 97]-NRT-code) | [i] | ||
| 4 | Linear OOA(2230, 100, F2, 3, 99) (dual of [(100, 3), 70, 100]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2233, 101, F2, 3, 99) (dual of [(101, 3), 70, 100]-NRT-code) | [i] | ||
| 6 | Linear OOA(2236, 102, F2, 3, 99) (dual of [(102, 3), 70, 100]-NRT-code) | [i] | ||
| 7 | Linear OOA(2239, 103, F2, 3, 99) (dual of [(103, 3), 70, 100]-NRT-code) | [i] | ||
| 8 | Linear OOA(2228, 99, F2, 3, 99) (dual of [(99, 3), 69, 100]-NRT-code) | [i] | OOA Duplication | |
| 9 | Linear OOA(2226, 98, F2, 3, 98) (dual of [(98, 3), 68, 99]-NRT-code) | [i] | Truncation for OOAs | |
| 10 | Linear OOA(2227, 49, F2, 6, 99) (dual of [(49, 6), 67, 100]-NRT-code) | [i] | OOA Folding | |