Information on Result #673272

Linear OA(2149, 520, F2, 35) (dual of [520, 371, 36]-code), using construction X applied to Ce(34) ⊂ Ce(30) based on
  1. linear OA(2145, 512, F2, 35) (dual of [512, 367, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. linear OA(2136, 512, F2, 31) (dual of [512, 376, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), 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(2148, 519, F2, 34) (dual of [519, 371, 35]-code) [i]Truncation
2Linear OOA(2149, 260, F2, 2, 35) (dual of [(260, 2), 371, 36]-NRT-code) [i]OOA Folding
3Linear OOA(2149, 173, F2, 3, 35) (dual of [(173, 3), 370, 36]-NRT-code) [i]
4Linear OOA(2149, 130, F2, 4, 35) (dual of [(130, 4), 371, 36]-NRT-code) [i]
5Linear OOA(2149, 104, F2, 5, 35) (dual of [(104, 5), 371, 36]-NRT-code) [i]