Information on Result #611134

Linear OA(2172, 524288, F2, 19) (dual of [524288, 524116, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19

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(2192, 524308, F2, 21) (dual of [524308, 524116, 22]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2173, 524308, F2, 19) (dual of [524308, 524135, 20]-code) [i]✔
3Linear OA(2216, 524320, F2, 23) (dual of [524320, 524104, 24]-code) [i]✔
4Linear OA(2217, 524333, F2, 23) (dual of [524333, 524116, 24]-code) [i]✔
5Linear OA(2178, 524320, F2, 19) (dual of [524320, 524142, 20]-code) [i]✔
6Linear OA(2179, 524333, F2, 19) (dual of [524333, 524154, 20]-code) [i]✔
7Linear OA(2173, 524309, F2, 19) (dual of [524309, 524136, 20]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
8Linear OOA(2172, 262144, F2, 2, 19) (dual of [(262144, 2), 524116, 20]-NRT-code) [i]OOA Folding
9Linear OOA(2172, 174762, F2, 3, 19) (dual of [(174762, 3), 524114, 20]-NRT-code) [i]
10Linear OOA(2172, 131072, F2, 4, 19) (dual of [(131072, 4), 524116, 20]-NRT-code) [i]
11Linear OOA(2172, 104857, F2, 5, 19) (dual of [(104857, 5), 524113, 20]-NRT-code) [i]
12Linear OOA(2172, 87381, F2, 6, 19) (dual of [(87381, 6), 524114, 20]-NRT-code) [i]
13Linear OOA(2172, 74898, F2, 7, 19) (dual of [(74898, 7), 524114, 20]-NRT-code) [i]
14Linear OOA(2172, 65536, F2, 8, 19) (dual of [(65536, 8), 524116, 20]-NRT-code) [i]
15Linear OOA(2172, 58254, F2, 19, 19) (dual of [(58254, 19), 1106654, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row