Information on Result #1728600
Digital (105, 128, 65546)-net over F8, using net defined by OOA based on linear OOA(8128, 65546, F8, 27, 23) (dual of [(65546, 27), 1769614, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(8128, 262185, F8, 3, 23) (dual of [(262185, 3), 786427, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8128, 262188, F8, 3, 23) (dual of [(262188, 3), 786436, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8128, 262188, F8, 23) (dual of [262188, 262060, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,8]) [i] based on
- linear OA(8121, 262145, F8, 23) (dual of [262145, 262024, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 812−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(885, 262145, F8, 17) (dual of [262145, 262060, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 812−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(87, 43, F8, 5) (dual of [43, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- construction X applied to C([0,11]) ⊂ C([0,8]) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8128, 262188, F8, 23) (dual of [262188, 262060, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(8128, 262188, F8, 3, 23) (dual of [(262188, 3), 786436, 24]-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.