Information on Result #1731568
Digital (83, 99, 1204877)-net over F9, using net defined by OOA based on linear OOA(999, 1204877, F9, 21, 16) (dual of [(1204877, 21), 25302318, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(999, 3614632, F9, 3, 16) (dual of [(3614632, 3), 10843797, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(999, 3614634, F9, 3, 16) (dual of [(3614634, 3), 10843803, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(999, 3614634, F9, 16) (dual of [3614634, 3614535, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(999, 4782969, F9, 16) (dual of [4782969, 4782870, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(999, 4782969, F9, 16) (dual of [4782969, 4782870, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(999, 3614634, F9, 16) (dual of [3614634, 3614535, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(999, 3614634, F9, 3, 16) (dual of [(3614634, 3), 10843803, 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.