Information on Result #702382

Linear OA(2174, 549, F2, 39) (dual of [549, 375, 40]-code), using construction XX applied to C1 = C([507,30]), C2 = C([0,34]), C3 = C1 + C2 = C([0,30]), and C∩ = C1 ∩ C2 = C([507,34]) based on
  1. linear OA(2154, 511, F2, 35) (dual of [511, 357, 36]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−4,−3,…,30}, and designed minimum distance d ≥ |I|+1 = 36 [i]
  2. linear OA(2145, 511, F2, 35) (dual of [511, 366, 36]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [0,34], and designed minimum distance d ≥ |I|+1 = 36 [i]
  3. linear OA(2163, 511, F2, 39) (dual of [511, 348, 40]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−4,−3,…,34}, and designed minimum distance d ≥ |I|+1 = 40 [i]
  4. linear OA(2136, 511, F2, 31) (dual of [511, 375, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [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(25, 14, F2, 3) (dual of [14, 9, 4]-code or 14-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(2173, 548, F2, 38) (dual of [548, 375, 39]-code) [i]Truncation
2Linear OOA(2174, 274, F2, 2, 39) (dual of [(274, 2), 374, 40]-NRT-code) [i]OOA Folding
3Linear OOA(2174, 183, F2, 3, 39) (dual of [(183, 3), 375, 40]-NRT-code) [i]
4Linear OOA(2174, 137, F2, 4, 39) (dual of [(137, 4), 374, 40]-NRT-code) [i]
5Linear OOA(2174, 109, F2, 5, 39) (dual of [(109, 5), 371, 40]-NRT-code) [i]