Information on Result #1728322
Digital (108, 129, 343580)-net over F8, using net defined by OOA based on linear OOA(8129, 343580, F8, 27, 21) (dual of [(343580, 27), 9276531, 22]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(8129, 1374321, F8, 3, 21) (dual of [(1374321, 3), 4122834, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8129, 1374322, F8, 3, 21) (dual of [(1374322, 3), 4122837, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8129, 1374322, F8, 21) (dual of [1374322, 1374193, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(8129, 2097169, F8, 21) (dual of [2097169, 2097040, 22]-code), using
- 1 times code embedding in larger space [i] based on linear OA(8128, 2097168, F8, 21) (dual of [2097168, 2097040, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- linear OA(8127, 2097153, F8, 21) (dual of [2097153, 2097026, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(8113, 2097153, F8, 19) (dual of [2097153, 2097040, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(81, 15, F8, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(8128, 2097168, F8, 21) (dual of [2097168, 2097040, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(8129, 2097169, F8, 21) (dual of [2097169, 2097040, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8129, 1374322, F8, 21) (dual of [1374322, 1374193, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(8129, 1374322, F8, 3, 21) (dual of [(1374322, 3), 4122837, 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.