Information on Result #1734786
Digital (64, 85, 22263)-net over F16, using net defined by OOA based on linear OOA(1685, 22263, F16, 22, 21) (dual of [(22263, 22), 489701, 22]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(1685, 111316, F16, 2, 21) (dual of [(111316, 2), 222547, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1685, 111318, F16, 2, 21) (dual of [(111318, 2), 222551, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1685, 111318, F16, 21) (dual of [111318, 111233, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(1685, 131085, F16, 21) (dual of [131085, 131000, 22]-code), using
- 1 times code embedding in larger space [i] based on linear OA(1684, 131084, F16, 21) (dual of [131084, 131000, 22]-code), using
- trace code [i] based on linear OA(25642, 65542, F256, 21) (dual of [65542, 65500, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- linear OA(25641, 65537, F256, 21) (dual of [65537, 65496, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(25637, 65537, F256, 19) (dual of [65537, 65500, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(2561, 5, F256, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 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
- trace code [i] based on linear OA(25642, 65542, F256, 21) (dual of [65542, 65500, 22]-code), using
- 1 times code embedding in larger space [i] based on linear OA(1684, 131084, F16, 21) (dual of [131084, 131000, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(1685, 131085, F16, 21) (dual of [131085, 131000, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1685, 111318, F16, 21) (dual of [111318, 111233, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(1685, 111318, F16, 2, 21) (dual of [(111318, 2), 222551, 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.