Information on Result #701681

Linear OA(2241, 263, F2, 105) (dual of [263, 22, 106]-code), using construction X applied to C([171,20]) ⊂ C([171,16]) based on
  1. linear OA(2237, 255, F2, 105) (dual of [255, 18, 106]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−84,−83,…,20}, and designed minimum distance d ≥ |I|+1 = 106 [i]
  2. linear OA(2233, 255, F2, 101) (dual of [255, 22, 102]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−84,−83,…,16}, and designed minimum distance d ≥ |I|+1 = 102 [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(2241, 263, F2, 104) (dual of [263, 22, 105]-code) [i]Strength Reduction
2Linear OA(2240, 262, F2, 104) (dual of [262, 22, 105]-code) [i]Truncation
3Linear OA(2239, 261, F2, 103) (dual of [261, 22, 104]-code) [i]
4Linear OA(2238, 260, F2, 102) (dual of [260, 22, 103]-code) [i]
5Linear OA(2237, 259, F2, 101) (dual of [259, 22, 102]-code) [i]