Information on Result #1797296
Digital (13, 21, 370)-net over F9, using embedding of OOA with Gilbert–Varšamov bound based on 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]) [i] based on
- 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]
- 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]
- 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]
- 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]
- linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code) (see above)
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.