Information on Result #611136

Linear OA(2190, 2097152, F2, 19) (dual of [2097152, 2096962, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 221−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19

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(2189, 2097151, F2, 18) (dual of [2097151, 2096962, 19]-code) [i]Truncation
2Linear OA(2212, 2097174, F2, 21) (dual of [2097174, 2096962, 22]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2191, 2097174, F2, 19) (dual of [2097174, 2096983, 20]-code) [i]✔
4Linear OA(2238, 2097184, F2, 23) (dual of [2097184, 2096946, 24]-code) [i]✔
5Linear OA(2239, 2097201, F2, 23) (dual of [2097201, 2096962, 24]-code) [i]✔
6Linear OA(2196, 2097184, F2, 19) (dual of [2097184, 2096988, 20]-code) [i]✔
7Linear OA(2197, 2097201, F2, 19) (dual of [2097201, 2097004, 20]-code) [i]✔
8Linear OA(2212, 2097175, F2, 21) (dual of [2097175, 2096963, 22]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
9Linear OA(2191, 2097175, F2, 19) (dual of [2097175, 2096984, 20]-code) [i]✔
10Linear OOA(2190, 1048576, F2, 2, 19) (dual of [(1048576, 2), 2096962, 20]-NRT-code) [i]OOA Folding
11Linear OOA(2190, 699050, F2, 3, 19) (dual of [(699050, 3), 2096960, 20]-NRT-code) [i]
12Linear OOA(2190, 524288, F2, 4, 19) (dual of [(524288, 4), 2096962, 20]-NRT-code) [i]
13Linear OOA(2190, 419430, F2, 5, 19) (dual of [(419430, 5), 2096960, 20]-NRT-code) [i]
14Linear OOA(2190, 349525, F2, 6, 19) (dual of [(349525, 6), 2096960, 20]-NRT-code) [i]
15Linear OOA(2190, 299593, F2, 7, 19) (dual of [(299593, 7), 2096961, 20]-NRT-code) [i]
16Linear OOA(2190, 262144, F2, 8, 19) (dual of [(262144, 8), 2096962, 20]-NRT-code) [i]
17Linear OOA(2190, 233016, F2, 19, 19) (dual of [(233016, 19), 4427114, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row