Information on Result #715178

Linear OA(840, 517, F8, 15) (dual of [517, 477, 16]-code), using construction XX applied to C1 = C([510,12]), C2 = C([0,13]), C3 = C1 + C2 = C([0,12]), and C∩ = C1 ∩ C2 = C([510,13]) based on
  1. linear OA(837, 511, F8, 14) (dual of [511, 474, 15]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−1,0,…,12}, and designed minimum distance d ≥ |I|+1 = 15 [i]
  2. linear OA(837, 511, F8, 14) (dual of [511, 474, 15]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
  3. linear OA(840, 511, F8, 15) (dual of [511, 471, 16]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−1,0,…,13}, and designed minimum distance d ≥ |I|+1 = 16 [i]
  4. linear OA(834, 511, F8, 13) (dual of [511, 477, 14]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [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(843, 553, F8, 15) (dual of [553, 510, 16]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(844, 612, F8, 15) (dual of [612, 568, 16]-code) [i]
3Linear OA(845, 700, F8, 15) (dual of [700, 655, 16]-code) [i]
4Linear OA(846, 809, F8, 15) (dual of [809, 763, 16]-code) [i]
5Linear OOA(840, 258, F8, 2, 15) (dual of [(258, 2), 476, 16]-NRT-code) [i]OOA Folding
6Linear OOA(840, 172, F8, 3, 15) (dual of [(172, 3), 476, 16]-NRT-code) [i]