Information on Result #701741

Linear OA(283, 280, F2, 21) (dual of [280, 197, 22]-code), using construction XX applied to C1 = C([237,0]), C2 = C([241,2]), C3 = C1 + C2 = C([241,0]), and C∩ = C1 ∩ C2 = C([237,2]) based on
  1. linear OA(269, 255, F2, 19) (dual of [255, 186, 20]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−18,−17,…,0}, and designed minimum distance d ≥ |I|+1 = 20 [i]
  2. linear OA(265, 255, F2, 17) (dual of [255, 190, 18]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−14,−13,…,2}, and designed minimum distance d ≥ |I|+1 = 18 [i]
  3. linear OA(277, 255, F2, 21) (dual of [255, 178, 22]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−18,−17,…,2}, and designed minimum distance d ≥ |I|+1 = 22 [i]
  4. linear OA(257, 255, F2, 15) (dual of [255, 198, 16]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−14,−13,…,0}, and designed minimum distance d ≥ |I|+1 = 16 [i]
  5. linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), using
  6. linear OA(21, 9, F2, 1) (dual of [9, 8, 2]-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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(282, 279, F2, 20) (dual of [279, 197, 21]-code) [i]Truncation
2Linear OOA(283, 140, F2, 2, 21) (dual of [(140, 2), 197, 22]-NRT-code) [i]OOA Folding
3Linear OOA(283, 93, F2, 3, 21) (dual of [(93, 3), 196, 22]-NRT-code) [i]
4Linear OOA(283, 70, F2, 4, 21) (dual of [(70, 4), 197, 22]-NRT-code) [i]
5Linear OOA(283, 56, F2, 5, 21) (dual of [(56, 5), 197, 22]-NRT-code) [i]
6Linear OOA(283, 46, F2, 6, 21) (dual of [(46, 6), 193, 22]-NRT-code) [i]