Information on Result #1791424
Digital (81, 104, 16841)-net over F7, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(7104, 16841, F7, 23) (dual of [16841, 16737, 24]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(7103, 16839, F7, 23) (dual of [16839, 16736, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(16) [i] based on
- linear OA(796, 16807, F7, 23) (dual of [16807, 16711, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(771, 16807, F7, 17) (dual of [16807, 16736, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(77, 32, F7, 5) (dual of [32, 25, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- construction X applied to Ce(22) ⊂ Ce(16) [i] based on
- linear OA(7103, 16840, F7, 22) (dual of [16840, 16737, 23]-code), using Gilbert–Varšamov bound and bm = 7103 > Vbs−1(k−1) = 23 996431 312305 172653 319647 709054 911929 803346 902005 309521 315644 523170 661060 501274 527479 [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(7103, 16839, F7, 23) (dual of [16839, 16736, 24]-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.