Information on Result #611137

Linear OA(2199, 4194304, F2, 19) (dual of [4194304, 4194105, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 222−1, 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(2198, 4194303, F2, 18) (dual of [4194303, 4194105, 19]-code) [i]Truncation
2Linear OA(2222, 4194327, F2, 21) (dual of [4194327, 4194105, 22]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2200, 4194327, F2, 19) (dual of [4194327, 4194127, 20]-code) [i]✔
4Linear OA(2249, 4194336, F2, 23) (dual of [4194336, 4194087, 24]-code) [i]✔
5Linear OA(2250, 4194355, F2, 23) (dual of [4194355, 4194105, 24]-code) [i]✔
6Linear OA(2205, 4194336, F2, 19) (dual of [4194336, 4194131, 20]-code) [i]✔
7Linear OA(2206, 4194355, F2, 19) (dual of [4194355, 4194149, 20]-code) [i]✔
8Linear OA(2222, 4194328, F2, 21) (dual of [4194328, 4194106, 22]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
9Linear OA(2200, 4194328, F2, 19) (dual of [4194328, 4194128, 20]-code) [i]✔
10Linear OOA(2199, 2097152, F2, 2, 19) (dual of [(2097152, 2), 4194105, 20]-NRT-code) [i]OOA Folding
11Linear OOA(2199, 1398101, F2, 3, 19) (dual of [(1398101, 3), 4194104, 20]-NRT-code) [i]
12Linear OOA(2199, 1048576, F2, 4, 19) (dual of [(1048576, 4), 4194105, 20]-NRT-code) [i]
13Linear OOA(2199, 838860, F2, 5, 19) (dual of [(838860, 5), 4194101, 20]-NRT-code) [i]
14Linear OOA(2199, 699050, F2, 6, 19) (dual of [(699050, 6), 4194101, 20]-NRT-code) [i]
15Linear OOA(2199, 599186, F2, 7, 19) (dual of [(599186, 7), 4194103, 20]-NRT-code) [i]
16Linear OOA(2199, 524288, F2, 8, 19) (dual of [(524288, 8), 4194105, 20]-NRT-code) [i]
17Linear OOA(2199, 466033, F2, 19, 19) (dual of [(466033, 19), 8854428, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row