Information on Result #1723490
Digital (100, 121, 12868)-net over F5, using net defined by OOA based on linear OOA(5121, 12868, F5, 27, 21) (dual of [(12868, 27), 347315, 22]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(5121, 51473, F5, 3, 21) (dual of [(51473, 3), 154298, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5121, 51474, F5, 3, 21) (dual of [(51474, 3), 154301, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5121, 51474, F5, 21) (dual of [51474, 51353, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(5121, 78150, F5, 21) (dual of [78150, 78029, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,7]) [i] based on
- linear OA(5113, 78126, F5, 21) (dual of [78126, 78013, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(585, 78126, F5, 15) (dual of [78126, 78041, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(58, 24, F5, 5) (dual of [24, 16, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(58, 33, F5, 5) (dual of [33, 25, 6]-code), using
- construction X applied to C([0,10]) ⊂ C([0,7]) [i] based on
- discarding factors / shortening the dual code based on linear OA(5121, 78150, F5, 21) (dual of [78150, 78029, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5121, 51474, F5, 21) (dual of [51474, 51353, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(5121, 51474, F5, 3, 21) (dual of [(51474, 3), 154301, 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.