Information on Result #672772
Linear OA(228, 8206, F2, 5) (dual of [8206, 8178, 6]-code), using construction X applied to Ce(4) ⊂ Ce(2) based on
- linear OA(227, 8192, F2, 5) (dual of [8192, 8165, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(214, 8192, F2, 3) (dual of [8192, 8178, 4]-code or 8192-cap in PG(13,2)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(21, 14, F2, 1) (dual of [14, 13, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(228, 4103, F2, 2, 5) (dual of [(4103, 2), 8178, 6]-NRT-code) | [i] | OOA Folding | |