Information on Result #701641

Linear OA(2124, 259, F2, 33) (dual of [259, 135, 34]-code), using construction X applied to C([239,16]) ⊂ C([243,16]) based on
  1. linear OA(2121, 255, F2, 33) (dual of [255, 134, 34]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−16,−15,…,16}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  2. linear OA(2113, 255, F2, 29) (dual of [255, 142, 30]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−12,−11,…,16}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  3. linear OA(23, 4, F2, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,2) or 4-cap in PG(2,2)), 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(2123, 258, F2, 32) (dual of [258, 135, 33]-code) [i]Truncation