Information on Result #629358
Linear OA(2144, 156, F2, 69) (dual of [156, 12, 70]-code), using concatenation of two codes based on
- linear OA(446, 52, F4, 34) (dual of [52, 6, 35]-code), using
- an extension Ce(33) of the narrow-sense BCH-code C(I) with length 51 | 44−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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
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(2144, 156, F2, 68) (dual of [156, 12, 69]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2143, 155, F2, 68) (dual of [155, 12, 69]-code) | [i] | Truncation | |
| 3 | Linear OA(2142, 154, F2, 67) (dual of [154, 12, 68]-code) | [i] | ||
| 4 | Linear OOA(2144, 78, F2, 2, 69) (dual of [(78, 2), 12, 70]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2144, 52, F2, 3, 69) (dual of [(52, 3), 12, 70]-NRT-code) | [i] | ||
| 6 | Linear OOA(2144, 31, F2, 5, 69) (dual of [(31, 5), 11, 70]-NRT-code) | [i] | ||