Information on Result #1725528
Digital (53, 68, 5612)-net over F7, using net defined by OOA based on linear OOA(768, 5612, F7, 21, 15) (dual of [(5612, 21), 117784, 16]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(768, 16837, F7, 3, 15) (dual of [(16837, 3), 50443, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(768, 16839, F7, 3, 15) (dual of [(16839, 3), 50449, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(768, 16839, F7, 15) (dual of [16839, 16771, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(8) [i] based on
- linear OA(761, 16807, F7, 15) (dual of [16807, 16746, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(736, 16807, F7, 9) (dual of [16807, 16771, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(77, 32, F7, 5) (dual of [32, 25, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- construction X applied to Ce(14) ⊂ Ce(8) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(768, 16839, F7, 15) (dual of [16839, 16771, 16]-code), using
- discarding factors / shortening the dual code based on linear OOA(768, 16839, F7, 3, 15) (dual of [(16839, 3), 50449, 16]-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.