Information on Result #3279338
(57, 73, 32769)-net in base 16, using 161 times duplication based on (56, 72, 32769)-net in base 16, using
- base change [i] based on digital (32, 48, 32769)-net over F64, using
- net defined by OOA [i] based on linear OOA(6448, 32769, F64, 16, 16) (dual of [(32769, 16), 524256, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(6448, 262152, F64, 16) (dual of [262152, 262104, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(6448, 262155, F64, 16) (dual of [262155, 262107, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- linear OA(6446, 262144, F64, 16) (dual of [262144, 262098, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(6437, 262144, F64, 13) (dual of [262144, 262107, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(642, 11, F64, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,64)), using
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- Reed–Solomon code RS(62,64) [i]
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(6448, 262155, F64, 16) (dual of [262155, 262107, 17]-code), using
- OA 8-folding and stacking [i] based on linear OA(6448, 262152, F64, 16) (dual of [262152, 262104, 17]-code), using
- net defined by OOA [i] based on linear OOA(6448, 32769, F64, 16, 16) (dual of [(32769, 16), 524256, 17]-NRT-code), using
Mode: Constructive.
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.