Information on Result #715680

Linear OA(870, 517, F8, 27) (dual of [517, 447, 28]-code), using construction XX applied to C1 = C([510,24]), C2 = C([0,25]), C3 = C1 + C2 = C([0,24]), and C∩ = C1 ∩ C2 = C([510,25]) based on
  1. linear OA(867, 511, F8, 26) (dual of [511, 444, 27]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−1,0,…,24}, and designed minimum distance d ≥ |I|+1 = 27 [i]
  2. linear OA(867, 511, F8, 26) (dual of [511, 444, 27]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,25], and designed minimum distance d ≥ |I|+1 = 27 [i]
  3. linear OA(870, 511, F8, 27) (dual of [511, 441, 28]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−1,0,…,25}, and designed minimum distance d ≥ |I|+1 = 28 [i]
  4. linear OA(864, 511, F8, 25) (dual of [511, 447, 26]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,24], and designed minimum distance d ≥ |I|+1 = 26 [i]
  5. linear OA(80, 3, F8, 0) (dual of [3, 3, 1]-code), using
  6. linear OA(80, 3, F8, 0) (dual of [3, 3, 1]-code) (see above)

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(872, 524, F8, 27) (dual of [524, 452, 28]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(873, 543, F8, 27) (dual of [543, 470, 28]-code) [i]
3Linear OA(874, 577, F8, 27) (dual of [577, 503, 28]-code) [i]
4Linear OA(875, 621, F8, 27) (dual of [621, 546, 28]-code) [i]
5Linear OOA(870, 258, F8, 2, 27) (dual of [(258, 2), 446, 28]-NRT-code) [i]OOA Folding