Information on Result #1732748
Digital (112, 137, 129351)-net over F9, using net defined by OOA based on linear OOA(9137, 129351, F9, 27, 25) (dual of [(129351, 27), 3492340, 26]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(9137, 517405, F9, 3, 25) (dual of [(517405, 3), 1552078, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9137, 517407, F9, 3, 25) (dual of [(517407, 3), 1552084, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9137, 517407, F9, 25) (dual of [517407, 517270, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(9137, 531470, F9, 25) (dual of [531470, 531333, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- linear OA(9133, 531442, F9, 25) (dual of [531442, 531309, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 912−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(9109, 531442, F9, 21) (dual of [531442, 531333, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 912−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(94, 28, F9, 3) (dual of [28, 24, 4]-code or 28-cap in PG(3,9)), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- discarding factors / shortening the dual code based on linear OA(9137, 531470, F9, 25) (dual of [531470, 531333, 26]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9137, 517407, F9, 25) (dual of [517407, 517270, 26]-code), using
- discarding factors / shortening the dual code based on linear OOA(9137, 517407, F9, 3, 25) (dual of [(517407, 3), 1552084, 26]-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.