Information on Result #1748196
Digital (12, 23, 30954)-net over F256, using net defined by OOA based on linear OOA(25623, 30954, F256, 15, 11) (dual of [(30954, 15), 464287, 12]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(25623, 30955, F256, 5, 11) (dual of [(30955, 5), 154752, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25623, 30955, F256, 2, 11) (dual of [(30955, 2), 61887, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25623, 32772, F256, 2, 11) (dual of [(32772, 2), 65521, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25623, 65544, F256, 11) (dual of [65544, 65521, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(7) [i] based on
- 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(25615, 65536, F256, 8) (dual of [65536, 65521, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(10) ⊂ Ce(7) [i] based on
- OOA 2-folding [i] based on linear OA(25623, 65544, F256, 11) (dual of [65544, 65521, 12]-code), using
- discarding factors / shortening the dual code based on linear OOA(25623, 32772, F256, 2, 11) (dual of [(32772, 2), 65521, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25623, 30955, F256, 2, 11) (dual of [(30955, 2), 61887, 12]-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.