Information on Result #674164
Linear OA(235, 71, F2, 13) (dual of [71, 36, 14]-code), using construction X applied to Ce(12) ⊂ Ce(10) based on
- linear OA(234, 64, F2, 13) (dual of [64, 30, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(228, 64, F2, 11) (dual of [64, 36, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(21, 7, F2, 1) (dual of [7, 6, 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(234, 70, F2, 12) (dual of [70, 36, 13]-code) | [i] | Truncation | |
| 2 | Linear OOA(235, 35, F2, 2, 13) (dual of [(35, 2), 35, 14]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(235, 23, F2, 3, 13) (dual of [(23, 3), 34, 14]-NRT-code) | [i] | ||