Information on Result #2426644
Linear OOA(2228, 120, F2, 2, 121) (dual of [(120, 2), 12, 122]-NRT-code), using strength reduction based on linear OOA(2228, 120, F2, 2, 122) (dual of [(120, 2), 12, 123]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(454, 60, F4, 40) (dual of [60, 6, 41]-code), using
- discarding factors / shortening the dual code based on linear OA(454, 62, F4, 40) (dual of [62, 8, 41]-code), using
- 3 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]
- 3 times truncation [i] based on linear OA(457, 65, F4, 43) (dual of [65, 8, 44]-code), using
- discarding factors / shortening the dual code based on linear OA(454, 62, F4, 40) (dual of [62, 8, 41]-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]
- linear OA(454, 60, F4, 40) (dual of [60, 6, 41]-code), 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(2240, 123, F2, 2, 126) (dual of [(123, 2), 6, 127]-NRT-code) | [i] | Juxtaposition for OOAs | |