Information on Result #702223

Linear OA(272, 511, F2, 16) (dual of [511, 439, 17]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17

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(287, 535, F2, 19) (dual of [535, 448, 20]-code) [i]Construction XX with Cyclic Codes
2Linear OA(284, 532, F2, 18) (dual of [532, 448, 19]-code) [i]
3Linear OA(298, 546, F2, 20) (dual of [546, 448, 21]-code) [i]
4Linear OA(296, 535, F2, 21) (dual of [535, 439, 22]-code) [i]
5Linear OA(293, 532, F2, 20) (dual of [532, 439, 21]-code) [i]
6Linear OA(2107, 546, F2, 22) (dual of [546, 439, 23]-code) [i]
7Linear OOA(272, 170, F2, 3, 16) (dual of [(170, 3), 438, 17]-NRT-code) [i]OOA Folding
8Linear OOA(272, 102, F2, 5, 16) (dual of [(102, 5), 438, 17]-NRT-code) [i]
9Linear OOA(272, 85, F2, 6, 16) (dual of [(85, 6), 438, 17]-NRT-code) [i]
10Linear OOA(272, 73, F2, 7, 16) (dual of [(73, 7), 439, 17]-NRT-code) [i]