Information on Result #1747508
Digital (47, 68, 561016)-net over F128, using net defined by OOA based on linear OOA(12868, 561016, F128, 28, 21) (dual of [(561016, 28), 15708380, 22]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(12868, 1683049, F128, 4, 21) (dual of [(1683049, 4), 6732128, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12868, 1683051, F128, 4, 21) (dual of [(1683051, 4), 6732136, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12868, 1683051, F128, 21) (dual of [1683051, 1682983, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(12868, 2097184, F128, 21) (dual of [2097184, 2097116, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,6]) [i] based on
- linear OA(12861, 2097153, F128, 21) (dual of [2097153, 2097092, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(12837, 2097153, F128, 13) (dual of [2097153, 2097116, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(1287, 31, F128, 7) (dual of [31, 24, 8]-code or 31-arc in PG(6,128)), using
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), using
- Reed–Solomon code RS(121,128) [i]
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), using
- construction X applied to C([0,10]) ⊂ C([0,6]) [i] based on
- discarding factors / shortening the dual code based on linear OA(12868, 2097184, F128, 21) (dual of [2097184, 2097116, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12868, 1683051, F128, 21) (dual of [1683051, 1682983, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(12868, 1683051, F128, 4, 21) (dual of [(1683051, 4), 6732136, 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.