Information on Result #672222

Linear OA(2233, 2097174, F2, 23) (dual of [2097174, 2096941, 24]-code), using construction X applied to Ce(22) ⊂ Ce(20) based on
  1. linear OA(2232, 2097152, F2, 23) (dual of [2097152, 2096920, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 221−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(2211, 2097152, F2, 21) (dual of [2097152, 2096941, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 221−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  3. linear OA(21, 22, F2, 1) (dual of [22, 21, 2]-code), using

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(2232, 2097173, F2, 22) (dual of [2097173, 2096941, 23]-code) [i]Truncation
2Linear OOA(2233, 1048587, F2, 2, 23) (dual of [(1048587, 2), 2096941, 24]-NRT-code) [i]OOA Folding
3Linear OOA(2233, 699058, F2, 3, 23) (dual of [(699058, 3), 2096941, 24]-NRT-code) [i]
4Linear OOA(2233, 524293, F2, 4, 23) (dual of [(524293, 4), 2096939, 24]-NRT-code) [i]
5Linear OOA(2233, 419434, F2, 5, 23) (dual of [(419434, 5), 2096937, 24]-NRT-code) [i]
6Linear OOA(2233, 349529, F2, 6, 23) (dual of [(349529, 6), 2096941, 24]-NRT-code) [i]
7Linear OOA(2233, 299596, F2, 7, 23) (dual of [(299596, 7), 2096939, 24]-NRT-code) [i]
8Linear OOA(2233, 262146, F2, 8, 23) (dual of [(262146, 8), 2096935, 24]-NRT-code) [i]
9Linear OOA(2233, 190652, F2, 23, 23) (dual of [(190652, 23), 4384763, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row