Information on Result #2220411
Linear OA(289, 102, F2, 41) (dual of [102, 13, 42]-code), using 2 times truncation based on linear OA(291, 104, F2, 43) (dual of [104, 13, 44]-code), using
- residual code [i] based on linear OA(2178, 192, F2, 87) (dual of [192, 14, 88]-code), using
- concatenation of two codes [i] based on
- linear OA(457, 64, F4, 43) (dual of [64, 7, 44]-code), using
- an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(457, 64, F4, 43) (dual of [64, 7, 44]-code), using
- concatenation of two codes [i] based on
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 OOA(289, 51, F2, 2, 41) (dual of [(51, 2), 13, 42]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(289, 34, F2, 3, 41) (dual of [(34, 3), 13, 42]-NRT-code) | [i] | ||