Information on Result #1740624
Digital (17, 26, 12942)-net over F32, using net defined by OOA based on linear OOA(3226, 12942, F32, 10, 9) (dual of [(12942, 10), 129394, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3226, 25885, F32, 2, 9) (dual of [(25885, 2), 51744, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3226, 25885, F32, 9) (dual of [25885, 25859, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(3226, 32776, F32, 9) (dual of [32776, 32750, 10]-code), using
- construction X applied to C([0,4]) ⊂ C([0,3]) [i] based on
- linear OA(3225, 32769, F32, 9) (dual of [32769, 32744, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(3219, 32769, F32, 7) (dual of [32769, 32750, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(321, 7, F32, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,4]) ⊂ C([0,3]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3226, 32776, F32, 9) (dual of [32776, 32750, 10]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3226, 25885, F32, 9) (dual of [25885, 25859, 10]-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.