Information on Result #2175701
Linear OA(249, 67, F2, 22) (dual of [67, 18, 23]-code), using strength reduction based on linear OA(249, 67, F2, 23) (dual of [67, 18, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(20) [i] based on
- linear OA(248, 64, F2, 23) (dual of [64, 16, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(246, 64, F2, 21) (dual of [64, 18, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(248, 66, F2, 21) (dual of [66, 18, 22]-code) | [i] | Truncation | |
| 2 | Linear OA(247, 65, F2, 20) (dual of [65, 18, 21]-code) | [i] | ||