Information on Result #1716178
Digital (174, 204, 6749)-net over F3, using net defined by OOA based on linear OOA(3204, 6749, F3, 35, 30) (dual of [(6749, 35), 236011, 31]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3204, 20248, F3, 5, 30) (dual of [(20248, 5), 101036, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3204, 20249, F3, 5, 30) (dual of [(20249, 5), 101041, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3204, 20249, F3, 2, 30) (dual of [(20249, 2), 40294, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3204, 29536, F3, 2, 30) (dual of [(29536, 2), 58868, 31]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3202, 29535, F3, 2, 30) (dual of [(29535, 2), 58868, 31]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3202, 59070, F3, 30) (dual of [59070, 58868, 31]-code), using
- construction X applied to Ce(30) ⊂ Ce(27) [i] based on
- linear OA(3201, 59049, F3, 31) (dual of [59049, 58848, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(31, 21, F3, 1) (dual of [21, 20, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(30) ⊂ Ce(27) [i] based on
- OOA 2-folding [i] based on linear OA(3202, 59070, F3, 30) (dual of [59070, 58868, 31]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3202, 29535, F3, 2, 30) (dual of [(29535, 2), 58868, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3204, 29536, F3, 2, 30) (dual of [(29536, 2), 58868, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3204, 20249, F3, 2, 30) (dual of [(20249, 2), 40294, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3204, 20249, F3, 5, 30) (dual of [(20249, 5), 101041, 31]-NRT-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.