Information on Result #1723888
Digital (123, 147, 19546)-net over F5, using net defined by OOA based on linear OOA(5147, 19546, F5, 27, 24) (dual of [(19546, 27), 527595, 25]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(5147, 78185, F5, 3, 24) (dual of [(78185, 3), 234408, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5147, 78187, F5, 3, 24) (dual of [(78187, 3), 234414, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5147, 78187, F5, 24) (dual of [78187, 78040, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(15) [i] based on
- linear OA(5134, 78125, F5, 24) (dual of [78125, 77991, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- 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(513, 62, F5, 7) (dual of [62, 49, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(513, 63, F5, 7) (dual of [63, 50, 8]-code), using
- a “GraCyc†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(513, 63, F5, 7) (dual of [63, 50, 8]-code), using
- construction X applied to Ce(23) ⊂ Ce(15) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5147, 78187, F5, 24) (dual of [78187, 78040, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(5147, 78187, F5, 3, 24) (dual of [(78187, 3), 234414, 25]-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.