Information on Result #659059
Linear OA(291, 104, F2, 43) (dual of [104, 13, 44]-code), using residual code 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
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(290, 103, F2, 42) (dual of [103, 13, 43]-code) | [i] | Truncation | |
| 2 | Linear OA(289, 102, F2, 41) (dual of [102, 13, 42]-code) | [i] | ||
| 3 | Linear OA(288, 101, F2, 40) (dual of [101, 13, 41]-code) | [i] | ||
| 4 | Linear OA(287, 100, F2, 39) (dual of [100, 13, 40]-code) | [i] | ||
| 5 | Linear OA(286, 99, F2, 38) (dual of [99, 13, 39]-code) | [i] | ||
| 6 | Linear OOA(291, 52, F2, 2, 43) (dual of [(52, 2), 13, 44]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(291, 34, F2, 3, 43) (dual of [(34, 3), 11, 44]-NRT-code) | [i] | ||