Information on Result #702137

Linear OA(2135, 511, F2, 30) (dual of [511, 376, 31]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31

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

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(2147, 550, F2, 30) (dual of [550, 403, 31]-code) [i]Construction X with Cyclic Codes
2Linear OA(2150, 535, F2, 33) (dual of [535, 385, 34]-code) [i]Construction XX with Cyclic Codes
3Linear OA(2147, 532, F2, 32) (dual of [532, 385, 33]-code) [i]
4Linear OA(2174, 550, F2, 38) (dual of [550, 376, 39]-code) [i]
5Linear OA(2189, 561, F2, 40) (dual of [561, 372, 41]-code) [i]
6Linear OA(2188, 558, F2, 40) (dual of [558, 370, 41]-code) [i]
7Linear OA(2204, 576, F2, 42) (dual of [576, 372, 43]-code) [i]
8Linear OOA(2135, 255, F2, 2, 30) (dual of [(255, 2), 375, 31]-NRT-code) [i]OOA Folding
9Linear OOA(2135, 170, F2, 3, 30) (dual of [(170, 3), 375, 31]-NRT-code) [i]
10Linear OOA(2135, 127, F2, 4, 30) (dual of [(127, 4), 373, 31]-NRT-code) [i]
11Linear OOA(2135, 102, F2, 5, 30) (dual of [(102, 5), 375, 31]-NRT-code) [i]