Information on Result #2220309
Linear OA(2100, 104, F2, 54) (dual of [104, 4, 55]-code), using 1 times truncation based on linear OA(2101, 105, F2, 55) (dual of [105, 4, 56]-code), using
- repeating each code word 7 times [i] based on linear OA(211, 15, F2, 7) (dual of [15, 4, 8]-code), using
- Simplex code S(4,2) [i]
- the expurgated narrow-sense BCH-code C(I) with length 105 | 212−1, defining interval I = [0,48], and minimum distance d ≥ |{−3,8,19,…,−39}|+1 = 56 (BCH-bound) [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2102, 106, F2, 54) (dual of [106, 4, 55]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(2100, 52, F2, 2, 54) (dual of [(52, 2), 4, 55]-NRT-code) | [i] | OOA Folding | |