Information on Result #702745

Linear OA(270, 1023, F2, 14) (dual of [1023, 953, 15]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, 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(286, 1049, F2, 17) (dual of [1049, 963, 18]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(283, 1046, F2, 16) (dual of [1046, 963, 17]-code) [i]✔
3Linear OA(298, 1061, F2, 18) (dual of [1061, 963, 19]-code) [i]✔
4Linear OA(296, 1049, F2, 19) (dual of [1049, 953, 20]-code) [i]✔
5Linear OA(293, 1046, F2, 18) (dual of [1046, 953, 19]-code) [i]✔
6Linear OA(2108, 1061, F2, 20) (dual of [1061, 953, 21]-code) [i]✔
7Linear OOA(270, 511, F2, 2, 14) (dual of [(511, 2), 952, 15]-NRT-code) [i]OOA Folding
8Linear OOA(270, 341, F2, 3, 14) (dual of [(341, 3), 953, 15]-NRT-code) [i]
9Linear OOA(270, 255, F2, 4, 14) (dual of [(255, 4), 950, 15]-NRT-code) [i]
10Linear OOA(270, 204, F2, 5, 14) (dual of [(204, 5), 950, 15]-NRT-code) [i]
11Linear OOA(270, 170, F2, 6, 14) (dual of [(170, 6), 950, 15]-NRT-code) [i]
12Linear OOA(270, 146, F2, 7, 14) (dual of [(146, 7), 952, 15]-NRT-code) [i]