Information on Result #1722758
Digital (80, 96, 26056)-net over F5, using net defined by OOA based on linear OOA(596, 26056, F5, 21, 16) (dual of [(26056, 21), 547080, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(596, 78169, F5, 3, 16) (dual of [(78169, 3), 234411, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(596, 78170, F5, 3, 16) (dual of [(78170, 3), 234414, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(596, 78170, F5, 16) (dual of [78170, 78074, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(8) [i] based on
- linear OA(585, 78125, F5, 16) (dual of [78125, 78040, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(550, 78125, F5, 9) (dual of [78125, 78075, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(511, 45, F5, 6) (dual of [45, 34, 7]-code), using
- construction X applied to Ce(15) ⊂ Ce(8) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(596, 78170, F5, 16) (dual of [78170, 78074, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(596, 78170, F5, 3, 16) (dual of [(78170, 3), 234414, 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.