Information on Result #1190186
Digital (59, 70, 164715)-net over F7, using net defined by OOA based on linear OOA(770, 164715, F7, 11, 11) (dual of [(164715, 11), 1811795, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(770, 823576, F7, 11) (dual of [823576, 823506, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(770, 823577, F7, 11) (dual of [823577, 823507, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(5) [i] based on
- linear OA(764, 823543, F7, 11) (dual of [823543, 823479, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(736, 823543, F7, 6) (dual of [823543, 823507, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(76, 34, F7, 4) (dual of [34, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- 1 times truncation [i] based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- construction X applied to Ce(10) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(770, 823577, F7, 11) (dual of [823577, 823507, 12]-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.