Information on Result #610869
Linear OA(229, 16386, F2, 5) (dual of [16386, 16357, 6]-code), using construction X applied to C([0,2]) ⊂ C([1,2]) based on
- linear OA(229, 16385, F2, 5) (dual of [16385, 16356, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(228, 16385, F2, 4) (dual of [16385, 16357, 5]-code), using the narrow-sense BCH-code C(I) with length 16385 | 228−1, defining interval I = [1,2], and minimum distance d ≥ |{−4,−2}| + |{0,3,6}| = 5 (simple Roos-bound) [i]
- linear OA(20, 1, F2, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(20, s, F2, 0) (dual of [s, s, 1]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(229, 8193, F2, 2, 5) (dual of [(8193, 2), 16357, 6]-NRT-code) | [i] | OOA Folding | |