Information on Result #611144

Linear OA(291, 513, F2, 21) (dual of [513, 422, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 218−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound)

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(290, 512, F2, 20) (dual of [512, 422, 21]-code) [i]Truncation
2Linear OA(299, 522, F2, 21) (dual of [522, 423, 22]-code) [i]Construction X with Cyclic Codes
3Linear OA(2110, 532, F2, 23) (dual of [532, 422, 24]-code) [i]
4Linear OA(2112, 517, F2, 25) (dual of [517, 405, 26]-code) [i]
5Linear OA(2113, 521, F2, 25) (dual of [521, 408, 26]-code) [i]
6Linear OA(2114, 529, F2, 25) (dual of [529, 415, 26]-code) [i]
7Linear OA(2115, 537, F2, 25) (dual of [537, 422, 26]-code) [i]
8Linear OA(294, 517, F2, 21) (dual of [517, 423, 22]-code) [i]
9Linear OA(295, 521, F2, 21) (dual of [521, 426, 22]-code) [i]
10Linear OA(296, 529, F2, 21) (dual of [529, 433, 22]-code) [i]
11Linear OA(297, 537, F2, 21) (dual of [537, 440, 22]-code) [i]
12Linear OOA(291, 171, F2, 3, 21) (dual of [(171, 3), 422, 22]-NRT-code) [i]OOA Folding