Information on Result #621920
Linear OA(2138, 153, F2, 63) (dual of [153, 15, 64]-code), using construction X applied to C3 ⊂ D2 based on
- linear OA(2120, 127, F2, 63) (dual of [127, 7, 64]-code), using code C3 for u = 7 by de Boer and Brouwer [i]
- linear OA(2112, 127, F2, 54) (dual of [127, 15, 55]-code), using augmented code D2 for u = 7 by de Boer and Brouwer [i]
- linear OA(218, 26, F2, 8) (dual of [26, 8, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(218, 29, F2, 8) (dual of [29, 11, 9]-code), using
- 3 times truncation [i] based on linear OA(221, 32, F2, 11) (dual of [32, 11, 12]-code), using
- an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 31 = 25−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- 3 times truncation [i] based on linear OA(221, 32, F2, 11) (dual of [32, 11, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(218, 29, F2, 8) (dual of [29, 11, 9]-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(2138, 153, F2, 62) (dual of [153, 15, 63]-code) | [i] | Strength Reduction | |