Information on Result #1185908
Digital (39, 47, 4102)-net over F4, using net defined by OOA based on linear OOA(447, 4102, F4, 8, 8) (dual of [(4102, 8), 32769, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(447, 16408, F4, 8) (dual of [16408, 16361, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(447, 16409, F4, 8) (dual of [16409, 16362, 9]-code), using
- 1 times truncation [i] based on linear OA(448, 16410, F4, 9) (dual of [16410, 16362, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(4) [i] based on
- linear OA(443, 16384, F4, 9) (dual of [16384, 16341, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(422, 16384, F4, 5) (dual of [16384, 16362, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(45, 26, F4, 3) (dual of [26, 21, 4]-code or 26-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(8) ⊂ Ce(4) [i] based on
- 1 times truncation [i] based on linear OA(448, 16410, F4, 9) (dual of [16410, 16362, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(447, 16409, F4, 8) (dual of [16409, 16362, 9]-code), using
Mode: Constructive and 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.