Information on Result #1721446
Digital (193, 235, 2349)-net over F4, using net defined by OOA based on linear OOA(4235, 2349, F4, 45, 42) (dual of [(2349, 45), 105470, 43]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(4235, 16444, F4, 3, 42) (dual of [(16444, 3), 49097, 43]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4235, 16447, F4, 3, 42) (dual of [(16447, 3), 49106, 43]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4235, 16447, F4, 42) (dual of [16447, 16212, 43]-code), using
- construction X applied to Ce(41) ⊂ Ce(32) [i] based on
- linear OA(4218, 16384, F4, 42) (dual of [16384, 16166, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(4169, 16384, F4, 33) (dual of [16384, 16215, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(417, 63, F4, 8) (dual of [63, 46, 9]-code), using
- construction X applied to Ce(41) ⊂ Ce(32) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4235, 16447, F4, 42) (dual of [16447, 16212, 43]-code), using
- discarding factors / shortening the dual code based on linear OOA(4235, 16447, F4, 3, 42) (dual of [(16447, 3), 49106, 43]-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.