Information on Result #611031

Linear OA(2109, 262145, F2, 13) (dual of [262145, 262036, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 236−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound)

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:

ResultThis
result
only		Method
1Linear OA(2108, 262144, F2, 12) (dual of [262144, 262036, 13]-code) [i]Truncation
2Linear OA(2115, 262152, F2, 13) (dual of [262152, 262037, 14]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(2148, 262149, F2, 17) (dual of [262149, 262001, 18]-code) [i]✔
4Linear OA(2149, 262153, F2, 17) (dual of [262153, 262004, 18]-code) [i]✔
5Linear OA(2150, 262161, F2, 17) (dual of [262161, 262011, 18]-code) [i]✔
6Linear OA(2151, 262177, F2, 17) (dual of [262177, 262026, 18]-code) [i]✔
7Linear OA(2152, 262188, F2, 17) (dual of [262188, 262036, 18]-code) [i]✔
8Linear OA(2112, 262149, F2, 13) (dual of [262149, 262037, 14]-code) [i]✔
9Linear OA(2113, 262153, F2, 13) (dual of [262153, 262040, 14]-code) [i]✔
10Linear OA(2114, 262161, F2, 13) (dual of [262161, 262047, 14]-code) [i]✔
11Linear OOA(2109, 52429, F2, 5, 13) (dual of [(52429, 5), 262036, 14]-NRT-code) [i]OOA Folding