Information on Result #1748914
Digital (33, 61, 7283)-net over F256, using net defined by OOA based on linear OOA(25661, 7283, F256, 35, 28) (dual of [(7283, 35), 254844, 29]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(25661, 21850, F256, 5, 28) (dual of [(21850, 5), 109189, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25661, 21852, F256, 5, 28) (dual of [(21852, 5), 109199, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25661, 21852, F256, 3, 28) (dual of [(21852, 3), 65495, 29]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25661, 65556, F256, 28) (dual of [65556, 65495, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(20) [i] based on
- linear OA(25655, 65536, F256, 28) (dual of [65536, 65481, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(25641, 65536, F256, 21) (dual of [65536, 65495, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2566, 20, F256, 6) (dual of [20, 14, 7]-code or 20-arc in PG(5,256)), using
- discarding factors / shortening the dual code based on linear OA(2566, 256, F256, 6) (dual of [256, 250, 7]-code or 256-arc in PG(5,256)), using
- Reed–Solomon code RS(250,256) [i]
- discarding factors / shortening the dual code based on linear OA(2566, 256, F256, 6) (dual of [256, 250, 7]-code or 256-arc in PG(5,256)), using
- construction X applied to Ce(27) ⊂ Ce(20) [i] based on
- OOA 3-folding [i] based on linear OA(25661, 65556, F256, 28) (dual of [65556, 65495, 29]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25661, 21852, F256, 3, 28) (dual of [(21852, 3), 65495, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25661, 21852, F256, 5, 28) (dual of [(21852, 5), 109199, 29]-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.