Information on Result #1814731
Digital (27, 53, 14154)-net over F256, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(25653, 14154, F256, 4, 26) (dual of [(14154, 4), 56563, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25653, 16386, F256, 4, 26) (dual of [(16386, 4), 65491, 27]-NRT-code), using
- OOA 4-folding [i] based on linear OA(25653, 65544, F256, 26) (dual of [65544, 65491, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(22) [i] based on
- linear OA(25651, 65536, F256, 26) (dual of [65536, 65485, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(25645, 65536, F256, 23) (dual of [65536, 65491, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(25) ⊂ Ce(22) [i] based on
- OOA 4-folding [i] based on linear OA(25653, 65544, F256, 26) (dual of [65544, 65491, 27]-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.