Information on Result #1727808
Digital (92, 109, 699067)-net over F8, using net defined by OOA based on linear OOA(8109, 699067, F8, 21, 17) (dual of [(699067, 21), 14680298, 18]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8109, 2097202, F8, 3, 17) (dual of [(2097202, 3), 6291497, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8109, 2097204, F8, 3, 17) (dual of [(2097204, 3), 6291503, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8109, 2097204, F8, 17) (dual of [2097204, 2097095, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(9) [i] based on
- linear OA(899, 2097152, F8, 17) (dual of [2097152, 2097053, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(857, 2097152, F8, 10) (dual of [2097152, 2097095, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(810, 52, F8, 6) (dual of [52, 42, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(810, 74, F8, 6) (dual of [74, 64, 7]-code), using
- a “GraX†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(810, 74, F8, 6) (dual of [74, 64, 7]-code), using
- construction X applied to Ce(16) ⊂ Ce(9) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8109, 2097204, F8, 17) (dual of [2097204, 2097095, 18]-code), using
- discarding factors / shortening the dual code based on linear OOA(8109, 2097204, F8, 3, 17) (dual of [(2097204, 3), 6291503, 18]-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.