Information on Result #673189

Linear OA(2176, 1052, F2, 35) (dual of [1052, 876, 36]-code), using construction XX applied to Ce(34) ⊂ Ce(30) ⊂ Ce(28) 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(2141, 1024, F2, 29) (dual of [1024, 883, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  4. linear OA(26, 24, F2, 3) (dual of [24, 18, 4]-code or 24-cap in PG(5,2)), using
  5. linear OA(21, 4, F2, 1) (dual of [4, 3, 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(2175, 1051, F2, 34) (dual of [1051, 876, 35]-code) [i]Truncation
2Linear OOA(2176, 526, F2, 2, 35) (dual of [(526, 2), 876, 36]-NRT-code) [i]OOA Folding
3Linear OOA(2176, 350, F2, 3, 35) (dual of [(350, 3), 874, 36]-NRT-code) [i]
4Linear OOA(2176, 263, F2, 4, 35) (dual of [(263, 4), 876, 36]-NRT-code) [i]
5Linear OOA(2176, 210, F2, 5, 35) (dual of [(210, 5), 874, 36]-NRT-code) [i]
6Linear OOA(2176, 175, F2, 6, 35) (dual of [(175, 6), 874, 36]-NRT-code) [i]
7Linear OOA(2176, 150, F2, 7, 35) (dual of [(150, 7), 874, 36]-NRT-code) [i]