Information on Result #1718118
Digital (99, 115, 53662)-net over F4, using net defined by OOA based on linear OOA(4115, 53662, F4, 21, 16) (dual of [(53662, 21), 1126787, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4115, 160987, F4, 3, 16) (dual of [(160987, 3), 482846, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4115, 160989, F4, 3, 16) (dual of [(160989, 3), 482852, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4115, 160989, F4, 16) (dual of [160989, 160874, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(4115, 262177, F4, 16) (dual of [262177, 262062, 17]-code), using
- 2 times code embedding in larger space [i] based on linear OA(4113, 262175, F4, 16) (dual of [262175, 262062, 17]-code), using
- 1 times truncation [i] based on linear OA(4114, 262176, F4, 17) (dual of [262176, 262062, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- linear OA(4109, 262144, F4, 17) (dual of [262144, 262035, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(482, 262144, F4, 13) (dual of [262144, 262062, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(45, 32, F4, 3) (dual of [32, 27, 4]-code or 32-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- 1 times truncation [i] based on linear OA(4114, 262176, F4, 17) (dual of [262176, 262062, 18]-code), using
- 2 times code embedding in larger space [i] based on linear OA(4113, 262175, F4, 16) (dual of [262175, 262062, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(4115, 262177, F4, 16) (dual of [262177, 262062, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4115, 160989, F4, 16) (dual of [160989, 160874, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(4115, 160989, F4, 3, 16) (dual of [(160989, 3), 482852, 17]-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.