Information on Result #674151

Linear OA(280, 87, F2, 41) (dual of [87, 7, 42]-code), using construction X applied to Ce(62) ⊂ Ce(30) based on
  1. linear OA(263, 64, F2, 63) (dual of [64, 1, 64]-code or 64-arc in PG(62,2)), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
  2. linear OA(257, 64, F2, 31) (dual of [64, 7, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(217, 23, F2, 9) (dual of [23, 6, 10]-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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(280, 87, F2, 40) (dual of [87, 7, 41]-code) [i]Strength Reduction
2Linear OA(279, 86, F2, 40) (dual of [86, 7, 41]-code) [i]Truncation
3Linear OOA(280, 43, F2, 2, 41) (dual of [(43, 2), 6, 42]-NRT-code) [i]OOA Folding
4Linear OOA(280, 29, F2, 3, 41) (dual of [(29, 3), 7, 42]-NRT-code) [i]