Information on Result #702123

Linear OA(2244, 276, F2, 99) (dual of [276, 32, 100]-code), using construction XX applied to C1 = C([251,90]), C2 = C([0,94]), C3 = C1 + C2 = C([0,90]), and C∩ = C1 ∩ C2 = C([251,94]) based on
  1. linear OA(2227, 255, F2, 95) (dual of [255, 28, 96]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−4,−3,…,90}, and designed minimum distance d ≥ |I|+1 = 96 [i]
  2. linear OA(2227, 255, F2, 95) (dual of [255, 28, 96]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [0,94], and designed minimum distance d ≥ |I|+1 = 96 [i]
  3. linear OA(2235, 255, F2, 99) (dual of [255, 20, 100]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−4,−3,…,94}, and designed minimum distance d ≥ |I|+1 = 100 [i]
  4. linear OA(2219, 255, F2, 91) (dual of [255, 36, 92]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [0,90], and designed minimum distance d ≥ |I|+1 = 92 [i]
  5. linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
  6. linear OA(25, 13, F2, 3) (dual of [13, 8, 4]-code or 13-cap in PG(4,2)), 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(2243, 275, F2, 98) (dual of [275, 32, 99]-code) [i]Truncation
2Linear OOA(2244, 138, F2, 2, 99) (dual of [(138, 2), 32, 100]-NRT-code) [i]OOA Folding
3Linear OOA(2244, 92, F2, 3, 99) (dual of [(92, 3), 32, 100]-NRT-code) [i]
4Linear OOA(2244, 55, F2, 5, 99) (dual of [(55, 5), 31, 100]-NRT-code) [i]