Information on Result #3279343
(70, 86, 262145)-net in base 16, using 162 times duplication based on (68, 84, 262145)-net in base 16, using
- base change [i] based on digital (32, 48, 262145)-net over F128, using
- net defined by OOA [i] based on linear OOA(12848, 262145, F128, 16, 16) (dual of [(262145, 16), 4194272, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(12848, 2097160, F128, 16) (dual of [2097160, 2097112, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(12848, 2097163, F128, 16) (dual of [2097163, 2097115, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- linear OA(12846, 2097152, F128, 16) (dual of [2097152, 2097106, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(12837, 2097152, F128, 13) (dual of [2097152, 2097115, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(1282, 11, F128, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,128)), using
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- Reed–Solomon code RS(126,128) [i]
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(12848, 2097163, F128, 16) (dual of [2097163, 2097115, 17]-code), using
- OA 8-folding and stacking [i] based on linear OA(12848, 2097160, F128, 16) (dual of [2097160, 2097112, 17]-code), using
- net defined by OOA [i] based on linear OOA(12848, 262145, F128, 16, 16) (dual of [(262145, 16), 4194272, 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.