Information on Result #673105

Linear OA(2171, 1040, F2, 35) (dual of [1040, 869, 36]-code), using construction X applied to Ce(34) ⊂ Ce(30) based on
  1. linear OA(2166, 1024, F2, 35) (dual of [1024, 858, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. linear OA(2151, 1024, F2, 31) (dual of [1024, 873, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), 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(2170, 1039, F2, 34) (dual of [1039, 869, 35]-code) [i]Truncation
2Linear OOA(2171, 520, F2, 2, 35) (dual of [(520, 2), 869, 36]-NRT-code) [i]OOA Folding
3Linear OOA(2171, 346, F2, 3, 35) (dual of [(346, 3), 867, 36]-NRT-code) [i]
4Linear OOA(2171, 260, F2, 4, 35) (dual of [(260, 4), 869, 36]-NRT-code) [i]
5Linear OOA(2171, 208, F2, 5, 35) (dual of [(208, 5), 869, 36]-NRT-code) [i]
6Linear OOA(2171, 173, F2, 6, 35) (dual of [(173, 6), 867, 36]-NRT-code) [i]
7Linear OOA(2171, 148, F2, 7, 35) (dual of [(148, 7), 865, 36]-NRT-code) [i]