Information on Result #1734232
Digital (44, 58, 32771)-net over F16, using net defined by OOA based on linear OOA(1658, 32771, F16, 18, 14) (dual of [(32771, 18), 589820, 15]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(1658, 131085, F16, 2, 14) (dual of [(131085, 2), 262112, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1658, 131088, F16, 2, 14) (dual of [(131088, 2), 262118, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1658, 131088, F16, 14) (dual of [131088, 131030, 15]-code), using
- trace code [i] based on linear OA(25629, 65544, F256, 14) (dual of [65544, 65515, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(10) [i] based on
- linear OA(25627, 65536, F256, 14) (dual of [65536, 65509, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(25621, 65536, F256, 11) (dual of [65536, 65515, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(2562, 8, F256, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,256)), using
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- Reed–Solomon code RS(254,256) [i]
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- construction X applied to Ce(13) ⊂ Ce(10) [i] based on
- trace code [i] based on linear OA(25629, 65544, F256, 14) (dual of [65544, 65515, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1658, 131088, F16, 14) (dual of [131088, 131030, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(1658, 131088, F16, 2, 14) (dual of [(131088, 2), 262118, 15]-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.