Information on Result #910915
Linear OOA(2224, 120, F2, 2, 116) (dual of [(120, 2), 16, 117]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(452, 60, F4, 38) (dual of [60, 8, 39]-code), using
- 5 times truncation [i] based on linear OA(457, 65, F4, 43) (dual of [65, 8, 44]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65 | 46−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- 5 times truncation [i] based on linear OA(457, 65, F4, 43) (dual of [65, 8, 44]-code), using
- linear OOA(22, 2, F2, 2, 2) (dual of [(2, 2), 2, 3]-NRT-code), using
- Reed–Solomon NRT-code RS(2;2,2) [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(2224, 120, F2, 2, 115) (dual of [(120, 2), 16, 116]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2224, 120, F2, 2, 114) (dual of [(120, 2), 16, 115]-NRT-code) | [i] | ||
| 3 | Linear OOA(2223, 119, F2, 2, 115) (dual of [(119, 2), 15, 116]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2222, 119, F2, 2, 114) (dual of [(119, 2), 16, 115]-NRT-code) | [i] | ||
| 5 | Linear OOA(2224, 60, F2, 4, 116) (dual of [(60, 4), 16, 117]-NRT-code) | [i] | OOA Folding | |