Information on Result #1795727
Digital (128, 151, 2097208)-net over F8, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8151, 2097208, F8, 23) (dual of [2097208, 2097057, 24]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8148, 2097202, F8, 23) (dual of [2097202, 2097054, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,8]) [i] based on
- linear OA(8141, 2097153, F8, 23) (dual of [2097153, 2097012, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(899, 2097153, F8, 17) (dual of [2097153, 2097054, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(87, 49, F8, 5) (dual of [49, 42, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- construction X applied to C([0,11]) ⊂ C([0,8]) [i] based on
- linear OA(8148, 2097205, F8, 22) (dual of [2097205, 2097057, 23]-code), using Gilbert–Varšamov bound and bm = 8148 > Vbs−1(k−1) = 62104 960125 976760 094770 275671 035664 084371 943340 295619 931524 476808 619335 971979 757637 901299 960722 275266 073902 770562 920253 728419 415096 [i]
- linear OA(80, 3, F8, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(8148, 2097202, F8, 23) (dual of [2097202, 2097054, 24]-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.