Information on Result #1790868
Digital (76, 90, 823577)-net over F7, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(790, 823577, F7, 14) (dual of [823577, 823487, 15]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(789, 823575, F7, 14) (dual of [823575, 823486, 15]-code), using
- construction X applied to Ce(14) ⊂ Ce(9) [i] based on
- linear OA(785, 823543, F7, 15) (dual of [823543, 823458, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(757, 823543, F7, 10) (dual of [823543, 823486, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(74, 32, F7, 3) (dual of [32, 28, 4]-code or 32-cap in PG(3,7)), using
- construction X applied to Ce(14) ⊂ Ce(9) [i] based on
- linear OA(789, 823576, F7, 13) (dual of [823576, 823487, 14]-code), using Gilbert–Varšamov bound and bm = 789 > Vbs−1(k−1) = 442468 288632 161639 166543 598575 464477 845611 885138 518837 347802 399263 838071 [i]
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(789, 823575, F7, 14) (dual of [823575, 823486, 15]-code), using
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.