Information on Result #702533

Linear OA(2215, 545, F2, 49) (dual of [545, 330, 50]-code), using construction XX applied to C1 = C([507,42]), C2 = C([0,44]), C3 = C1 + C2 = C([0,42]), and C∩ = C1 ∩ C2 = C([507,44]) based on
  1. linear OA(2199, 511, F2, 47) (dual of [511, 312, 48]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−4,−3,…,42}, and designed minimum distance d ≥ |I|+1 = 48 [i]
  2. linear OA(2190, 511, F2, 45) (dual of [511, 321, 46]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [0,44], and designed minimum distance d ≥ |I|+1 = 46 [i]
  3. linear OA(2208, 511, F2, 49) (dual of [511, 303, 50]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−4,−3,…,44}, and designed minimum distance d ≥ |I|+1 = 50 [i]
  4. linear OA(2181, 511, F2, 43) (dual of [511, 330, 44]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [0,42], and designed minimum distance d ≥ |I|+1 = 44 [i]
  5. linear OA(26, 24, F2, 3) (dual of [24, 18, 4]-code or 24-cap in PG(5,2)), using
  6. linear OA(21, 10, F2, 1) (dual of [10, 9, 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(2214, 544, F2, 48) (dual of [544, 330, 49]-code) [i]Truncation
2Linear OOA(2215, 272, F2, 2, 49) (dual of [(272, 2), 329, 50]-NRT-code) [i]OOA Folding
3Linear OOA(2215, 181, F2, 3, 49) (dual of [(181, 3), 328, 50]-NRT-code) [i]
4Linear OOA(2215, 136, F2, 4, 49) (dual of [(136, 4), 329, 50]-NRT-code) [i]
5Linear OOA(2215, 109, F2, 5, 49) (dual of [(109, 5), 330, 50]-NRT-code) [i]