Information on Result #611140

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

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:

ResultThis
result
only		Method
1Linear OA(246, 64, F2, 20) (dual of [64, 18, 21]-code) [i]Strength Reduction
2Linear OA(246, 64, F2, 19) (dual of [64, 18, 20]-code) [i]
3Linear OA(250, 68, F2, 21) (dual of [68, 18, 22]-code) [i]Code Embedding in Larger Space
4Linear OA(244, 62, F2, 19) (dual of [62, 18, 20]-code) [i]Truncation
5Linear OA(243, 61, F2, 18) (dual of [61, 18, 19]-code) [i]
6Linear OA(249, 67, F2, 23) (dual of [67, 18, 24]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
7Linear OA(251, 70, F2, 21) (dual of [70, 19, 22]-code) [i]✔
8Linear OA(263, 81, F2, 27) (dual of [81, 18, 28]-code) [i]✔
9Linear OA(259, 77, F2, 25) (dual of [77, 18, 26]-code) [i]✔
10Linear OA(269, 87, F2, 29) (dual of [87, 18, 30]-code) [i]✔
11Linear OA(272, 90, F2, 31) (dual of [90, 18, 32]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
12Linear OA(262, 80, F2, 27) (dual of [80, 18, 28]-code) [i]✔
13Linear OA(258, 76, F2, 25) (dual of [76, 18, 26]-code) [i]✔
14Linear OA(261, 78, F2, 27) (dual of [78, 17, 28]-code) [i]✔
15Linear OA(257, 74, F2, 25) (dual of [74, 17, 26]-code) [i]✔
16Linear OOA(246, 32, F2, 2, 21) (dual of [(32, 2), 18, 22]-NRT-code) [i]OOA Folding
17Linear OOA(246, 16, F2, 4, 21) (dual of [(16, 4), 18, 22]-NRT-code) [i]