Information on Result #1769952
Digital (201, 224, 1405573)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3224, 1405573, F3, 3, 23) (dual of [(1405573, 3), 4216495, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3224, 1594346, F3, 3, 23) (dual of [(1594346, 3), 4782814, 24]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3224, 4783038, F3, 23) (dual of [4783038, 4782814, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(16) [i] based on
- linear OA(3211, 4782969, F3, 23) (dual of [4782969, 4782758, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(3155, 4782969, F3, 17) (dual of [4782969, 4782814, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(313, 69, F3, 5) (dual of [69, 56, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(313, 80, F3, 5) (dual of [80, 67, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(313, 80, F3, 5) (dual of [80, 67, 6]-code), using
- construction X applied to Ce(22) ⊂ Ce(16) [i] based on
- OOA 3-folding [i] based on linear OA(3224, 4783038, F3, 23) (dual of [4783038, 4782814, 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.