Information on Result #715117

Linear OA(834, 517, F8, 13) (dual of [517, 483, 14]-code), using construction XX applied to C1 = C([510,10]), C2 = C([0,11]), C3 = C1 + C2 = C([0,10]), and C∩ = C1 ∩ C2 = C([510,11]) based on
  1. linear OA(831, 511, F8, 12) (dual of [511, 480, 13]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−1,0,…,10}, and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. linear OA(831, 511, F8, 12) (dual of [511, 480, 13]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
  3. linear OA(834, 511, F8, 13) (dual of [511, 477, 14]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−1,0,…,11}, and designed minimum distance d ≥ |I|+1 = 14 [i]
  4. linear OA(828, 511, F8, 11) (dual of [511, 483, 12]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [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(837, 543, F8, 13) (dual of [543, 506, 14]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(838, 587, F8, 13) (dual of [587, 549, 14]-code) [i]
3Linear OA(839, 668, F8, 13) (dual of [668, 629, 14]-code) [i]
4Linear OA(840, 782, F8, 13) (dual of [782, 742, 14]-code) [i]
5Linear OA(841, 927, F8, 13) (dual of [927, 886, 14]-code) [i]
6Linear OOA(834, 258, F8, 2, 13) (dual of [(258, 2), 482, 14]-NRT-code) [i]OOA Folding
7Linear OOA(834, 172, F8, 3, 13) (dual of [(172, 3), 482, 14]-NRT-code) [i]