Information on Result #1740378
Digital (72, 109, 1549)-net over F27, using net defined by OOA based on linear OOA(27109, 1549, F27, 38, 37) (dual of [(1549, 38), 58753, 38]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OOA(27109, 13942, F27, 2, 37) (dual of [(13942, 2), 27775, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(27109, 13948, F27, 2, 37) (dual of [(13948, 2), 27787, 38]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(27109, 13948, F27, 37) (dual of [13948, 13839, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(27109, 19684, F27, 37) (dual of [19684, 19575, 38]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(27109, 19684, F27, 37) (dual of [19684, 19575, 38]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(27109, 13948, F27, 37) (dual of [13948, 13839, 38]-code), using
- discarding factors / shortening the dual code based on linear OOA(27109, 13948, F27, 2, 37) (dual of [(13948, 2), 27787, 38]-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.