Information on Result #715114

Linear OA(839, 525, F8, 14) (dual of [525, 486, 15]-code), using construction XX applied to C1 = C([509,9]), C2 = C([0,11]), C3 = C1 + C2 = C([0,9]), and C∩ = C1 ∩ C2 = C([509,11]) 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 = {−2,−1,…,9}, 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(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 = {−2,−1,…,11}, and designed minimum distance d ≥ |I|+1 = 15 [i]
  4. linear OA(825, 511, F8, 10) (dual of [511, 486, 11]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
  5. linear OA(81, 7, F8, 1) (dual of [7, 6, 2]-code), using
  6. linear OA(81, 7, F8, 1) (dual of [7, 6, 2]-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 OOA(839, 525, F8, 2, 14) (dual of [(525, 2), 1011, 15]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(839, 525, F8, 3, 14) (dual of [(525, 3), 1536, 15]-NRT-code) [i]
3Digital (25, 39, 525)-net over F8 [i]
4Linear OOA(839, 262, F8, 2, 14) (dual of [(262, 2), 485, 15]-NRT-code) [i]OOA Folding
5Linear OOA(839, 175, F8, 3, 14) (dual of [(175, 3), 486, 15]-NRT-code) [i]