Information on Result #611060

Linear OA(2134, 524288, F2, 15) (dual of [524288, 524154, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15

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(2133, 524287, F2, 14) (dual of [524287, 524154, 15]-code) [i]Truncation
2Linear OA(2154, 524308, F2, 17) (dual of [524308, 524154, 18]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2135, 524308, F2, 15) (dual of [524308, 524173, 16]-code) [i]✔
4Linear OA(2178, 524320, F2, 19) (dual of [524320, 524142, 20]-code) [i]✔
5Linear OA(2179, 524333, F2, 19) (dual of [524333, 524154, 20]-code) [i]✔
6Linear OA(2140, 524320, F2, 15) (dual of [524320, 524180, 16]-code) [i]✔
7Linear OA(2154, 524309, F2, 17) (dual of [524309, 524155, 18]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
8Linear OA(2135, 524309, F2, 15) (dual of [524309, 524174, 16]-code) [i]✔
9Linear OOA(2134, 262144, F2, 2, 15) (dual of [(262144, 2), 524154, 16]-NRT-code) [i]OOA Folding
10Linear OOA(2134, 174762, F2, 3, 15) (dual of [(174762, 3), 524152, 16]-NRT-code) [i]
11Linear OOA(2134, 131072, F2, 4, 15) (dual of [(131072, 4), 524154, 16]-NRT-code) [i]
12Linear OOA(2134, 104857, F2, 5, 15) (dual of [(104857, 5), 524151, 16]-NRT-code) [i]
13Linear OOA(2134, 87381, F2, 6, 15) (dual of [(87381, 6), 524152, 16]-NRT-code) [i]
14Linear OOA(2134, 74898, F2, 7, 15) (dual of [(74898, 7), 524152, 16]-NRT-code) [i]
15Linear OOA(2134, 74898, F2, 8, 15) (dual of [(74898, 8), 599050, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row
16Linear OOA(2134, 74898, F2, 15, 15) (dual of [(74898, 15), 1123336, 16]-NRT-code) [i]