Information on Result #611312

Linear OA(2211, 16384, F2, 31) (dual of [16384, 16173, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, 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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(2210, 16383, F2, 30) (dual of [16383, 16173, 31]-code) [i]Truncation
2Linear OA(2226, 16399, F2, 33) (dual of [16399, 16173, 34]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2212, 16399, F2, 31) (dual of [16399, 16187, 32]-code) [i]✔
4Linear OA(2245, 16416, F2, 35) (dual of [16416, 16171, 36]-code) [i]✔
5Linear OA(2246, 16419, F2, 35) (dual of [16419, 16173, 36]-code) [i]✔
6Linear OA(2217, 16416, F2, 31) (dual of [16416, 16199, 32]-code) [i]✔
7Linear OA(2218, 16419, F2, 31) (dual of [16419, 16201, 32]-code) [i]✔
8Linear OA(2224, 16439, F2, 31) (dual of [16439, 16215, 32]-code) [i]✔
9Linear OA(2223, 16429, F2, 31) (dual of [16429, 16206, 32]-code) [i]✔
10Linear OA(2223, 16432, F2, 31) (dual of [16432, 16209, 32]-code) [i]✔
11Linear OOA(2211, 8192, F2, 2, 31) (dual of [(8192, 2), 16173, 32]-NRT-code) [i]OOA Folding
12Linear OOA(2211, 5461, F2, 3, 31) (dual of [(5461, 3), 16172, 32]-NRT-code) [i]
13Linear OOA(2211, 4096, F2, 4, 31) (dual of [(4096, 4), 16173, 32]-NRT-code) [i]
14Linear OOA(2211, 3276, F2, 5, 31) (dual of [(3276, 5), 16169, 32]-NRT-code) [i]
15Linear OOA(2211, 2730, F2, 6, 31) (dual of [(2730, 6), 16169, 32]-NRT-code) [i]
16Linear OOA(2211, 2340, F2, 7, 31) (dual of [(2340, 7), 16169, 32]-NRT-code) [i]
17Linear OOA(2211, 2048, F2, 8, 31) (dual of [(2048, 8), 16173, 32]-NRT-code) [i]
18Linear OOA(2211, 1092, F2, 31, 31) (dual of [(1092, 31), 33641, 32]-NRT-code) [i]OOA Folding and Stacking with Additional Row