Information on Result #672337

Linear OA(2115, 524288, F2, 13) (dual of [524288, 524173, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(2135, 524308, F2, 15) (dual of [524308, 524173, 16]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2116, 524308, F2, 13) (dual of [524308, 524192, 14]-code) [i]✔
3Linear OA(2135, 524309, F2, 15) (dual of [524309, 524174, 16]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
4Linear OA(2116, 524309, F2, 13) (dual of [524309, 524193, 14]-code) [i]✔
5Linear OOA(2115, 262144, F2, 2, 13) (dual of [(262144, 2), 524173, 14]-NRT-code) [i]OOA Folding
6Linear OOA(2115, 131072, F2, 4, 13) (dual of [(131072, 4), 524173, 14]-NRT-code) [i]
7Linear OOA(2115, 104857, F2, 5, 13) (dual of [(104857, 5), 524170, 14]-NRT-code) [i]
8Linear OOA(2115, 87381, F2, 6, 13) (dual of [(87381, 6), 524171, 14]-NRT-code) [i]
9Linear OOA(2115, 87381, F2, 7, 13) (dual of [(87381, 7), 611552, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row
10Linear OOA(2115, 87381, F2, 8, 13) (dual of [(87381, 8), 698933, 14]-NRT-code) [i]
11Linear OOA(2115, 87381, F2, 13, 13) (dual of [(87381, 13), 1135838, 14]-NRT-code) [i]