Information on Result #1746072
Digital (45, 66, 111691)-net over F81, using net defined by OOA based on linear OOA(8166, 111691, F81, 28, 21) (dual of [(111691, 28), 3127282, 22]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8166, 335074, F81, 4, 21) (dual of [(335074, 4), 1340230, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8166, 335075, F81, 4, 21) (dual of [(335075, 4), 1340234, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8166, 335075, F81, 21) (dual of [335075, 335009, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(8166, 531465, F81, 21) (dual of [531465, 531399, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,7]) [i] based on
- linear OA(8161, 531442, F81, 21) (dual of [531442, 531381, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(8143, 531442, F81, 15) (dual of [531442, 531399, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(815, 23, F81, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,81)), using
- discarding factors / shortening the dual code based on linear OA(815, 81, F81, 5) (dual of [81, 76, 6]-code or 81-arc in PG(4,81)), using
- Reed–Solomon code RS(76,81) [i]
- discarding factors / shortening the dual code based on linear OA(815, 81, F81, 5) (dual of [81, 76, 6]-code or 81-arc in PG(4,81)), using
- construction X applied to C([0,10]) ⊂ C([0,7]) [i] based on
- discarding factors / shortening the dual code based on linear OA(8166, 531465, F81, 21) (dual of [531465, 531399, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8166, 335075, F81, 21) (dual of [335075, 335009, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(8166, 335075, F81, 4, 21) (dual of [(335075, 4), 1340234, 22]-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.