Information on Result #718618

Linear OA(921, 370, F9, 8) (dual of [370, 349, 9]-code), using construction XX applied to C1 = C([40,46]), C2 = C([39,45]), C3 = C1 + C2 = C([40,45]), and C∩ = C1 ∩ C2 = C([39,46]) based on
  1. linear OA(918, 364, F9, 7) (dual of [364, 346, 8]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {40,41,…,46}, and designed minimum distance d ≥ |I|+1 = 8 [i]
  2. linear OA(918, 364, F9, 7) (dual of [364, 346, 8]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {39,40,…,45}, and designed minimum distance d ≥ |I|+1 = 8 [i]
  3. linear OA(921, 364, F9, 8) (dual of [364, 343, 9]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {39,40,…,46}, and designed minimum distance d ≥ |I|+1 = 9 [i]
  4. linear OA(915, 364, F9, 6) (dual of [364, 349, 7]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {40,41,…,45}, and designed minimum distance d ≥ |I|+1 = 7 [i]
  5. linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code), using
  6. linear OA(90, 3, F9, 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 OOA(921, 370, F9, 2, 8) (dual of [(370, 2), 719, 9]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(921, 370, F9, 3, 8) (dual of [(370, 3), 1089, 9]-NRT-code) [i]
3Digital (13, 21, 370)-net over F9 [i]
4Linear OA(924, 794, F9, 8) (dual of [794, 770, 9]-code) [i]VarÅ¡amov–Edel Lengthening
5Linear OA(925, 1085, F9, 8) (dual of [1085, 1060, 9]-code) [i]
6Linear OOA(921, 185, F9, 2, 8) (dual of [(185, 2), 349, 9]-NRT-code) [i]OOA Folding
7Linear OOA(921, 123, F9, 3, 8) (dual of [(123, 3), 348, 9]-NRT-code) [i]