Information on Result #1769325
Digital (185, 217, 20080)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3217, 20080, F3, 2, 32) (dual of [(20080, 2), 39943, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3217, 29542, F3, 2, 32) (dual of [(29542, 2), 58867, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3217, 59084, F3, 32) (dual of [59084, 58867, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(3217, 59085, F3, 32) (dual of [59085, 58868, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(27) [i] based on
- linear OA(3211, 59049, F3, 32) (dual of [59049, 58838, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3181, 59049, F3, 28) (dual of [59049, 58868, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(36, 36, F3, 3) (dual of [36, 30, 4]-code or 36-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(31) ⊂ Ce(27) [i] based on
- discarding factors / shortening the dual code based on linear OA(3217, 59085, F3, 32) (dual of [59085, 58868, 33]-code), using
- OOA 2-folding [i] based on linear OA(3217, 59084, F3, 32) (dual of [59084, 58867, 33]-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.