Information on Result #910932
Linear OOA(2234, 124, F2, 2, 125) (dual of [(124, 2), 14, 126]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(455, 62, F4, 41) (dual of [62, 7, 42]-code), using
- discarding factors / shortening the dual code based on linear OA(455, 63, F4, 41) (dual of [63, 8, 42]-code), using
- 2 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]
- 2 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(455, 63, F4, 41) (dual of [63, 8, 42]-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(2234, 124, F2, 2, 124) (dual of [(124, 2), 14, 125]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2233, 123, F2, 2, 124) (dual of [(123, 2), 13, 125]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(2232, 123, F2, 2, 123) (dual of [(123, 2), 14, 124]-NRT-code) | [i] | ||
| 4 | Linear OOA(2231, 122, F2, 2, 122) (dual of [(122, 2), 13, 123]-NRT-code) | [i] | ||
| 5 | Linear OOA(2229, 121, F2, 2, 120) (dual of [(121, 2), 13, 121]-NRT-code) | [i] | ||
| 6 | Linear OOA(2234, 62, F2, 4, 125) (dual of [(62, 4), 14, 126]-NRT-code) | [i] | OOA Folding | |