Information on Result #611126

Linear OA(2100, 2048, F2, 19) (dual of [2048, 1948, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, 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(299, 2047, F2, 18) (dual of [2047, 1948, 19]-code) [i]Truncation
2Linear OA(2112, 2060, F2, 21) (dual of [2060, 1948, 22]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2101, 2060, F2, 19) (dual of [2060, 1959, 20]-code) [i]✔
4Linear OA(2128, 2076, F2, 23) (dual of [2076, 1948, 24]-code) [i]✔
5Linear OA(2106, 2076, F2, 19) (dual of [2076, 1970, 20]-code) [i]✔
6Linear OA(2144, 2085, F2, 25) (dual of [2085, 1941, 26]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
7Linear OOA(2100, 1024, F2, 2, 19) (dual of [(1024, 2), 1948, 20]-NRT-code) [i]OOA Folding
8Linear OOA(2100, 682, F2, 3, 19) (dual of [(682, 3), 1946, 20]-NRT-code) [i]
9Linear OOA(2100, 512, F2, 4, 19) (dual of [(512, 4), 1948, 20]-NRT-code) [i]
10Linear OOA(2100, 409, F2, 5, 19) (dual of [(409, 5), 1945, 20]-NRT-code) [i]
11Linear OOA(2100, 341, F2, 6, 19) (dual of [(341, 6), 1946, 20]-NRT-code) [i]
12Linear OOA(2100, 292, F2, 7, 19) (dual of [(292, 7), 1944, 20]-NRT-code) [i]
13Linear OOA(2100, 256, F2, 8, 19) (dual of [(256, 8), 1948, 20]-NRT-code) [i]