Information on Result #715349

Linear OA(849, 517, F8, 19) (dual of [517, 468, 20]-code), using construction XX applied to C1 = C([510,16]), C2 = C([0,17]), C3 = C1 + C2 = C([0,16]), and C∩ = C1 ∩ C2 = C([510,17]) based on
  1. linear OA(846, 511, F8, 18) (dual of [511, 465, 19]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−1,0,…,16}, and designed minimum distance d ≥ |I|+1 = 19 [i]
  2. linear OA(846, 511, F8, 18) (dual of [511, 465, 19]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
  3. linear OA(849, 511, F8, 19) (dual of [511, 462, 20]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−1,0,…,17}, and designed minimum distance d ≥ |I|+1 = 20 [i]
  4. linear OA(843, 511, F8, 17) (dual of [511, 468, 18]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [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(852, 528, F8, 19) (dual of [528, 476, 20]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(853, 544, F8, 19) (dual of [544, 491, 20]-code) [i]
3Linear OA(854, 578, F8, 19) (dual of [578, 524, 20]-code) [i]
4Linear OA(855, 634, F8, 19) (dual of [634, 579, 20]-code) [i]
5Linear OA(856, 706, F8, 19) (dual of [706, 650, 20]-code) [i]
6Linear OOA(849, 258, F8, 2, 19) (dual of [(258, 2), 467, 20]-NRT-code) [i]OOA Folding
7Linear OOA(849, 172, F8, 3, 19) (dual of [(172, 3), 467, 20]-NRT-code) [i]