Information on Result #1799897
Digital (107, 129, 1062890)-net over F9, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9129, 1062890, F9, 22) (dual of [1062890, 1062761, 23]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9128, 1062888, F9, 22) (dual of [1062888, 1062760, 23]-code), using
- trace code [i] based on linear OA(8164, 531444, F81, 22) (dual of [531444, 531380, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(8164, 531441, F81, 22) (dual of [531441, 531377, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(8161, 531441, F81, 21) (dual of [531441, 531380, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- trace code [i] based on linear OA(8164, 531444, F81, 22) (dual of [531444, 531380, 23]-code), using
- linear OA(9128, 1062889, F9, 21) (dual of [1062889, 1062761, 22]-code), using Gilbert–Varšamov bound and bm = 9128 > Vbs−1(k−1) = 1 604532 758744 124676 349671 637135 700367 485558 943412 083726 790589 457259 940114 439760 879200 002218 556403 566259 299058 342370 712129 [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 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(9128, 1062888, F9, 22) (dual of [1062888, 1062760, 23]-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.