Information on Result #911456
Linear OOA(278, 51, F2, 2, 35) (dual of [(51, 2), 24, 36]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1611, 17, F16, 11) (dual of [17, 6, 12]-code or 17-arc in PG(10,16)), using
- extended Reed–Solomon code RSe(6,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OOA(22, 3, F2, 2, 2) (dual of [(3, 2), 4, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;4,2) [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(278, 51, F2, 2, 34) (dual of [(51, 2), 24, 35]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(280, 52, F2, 2, 35) (dual of [(52, 2), 24, 36]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(279, 51, F2, 2, 35) (dual of [(51, 2), 23, 36]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(277, 50, F2, 2, 34) (dual of [(50, 2), 23, 35]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(278, 25, F2, 4, 35) (dual of [(25, 4), 22, 36]-NRT-code) | [i] | OOA Folding | |