Information on Result #1722704
Digital (52, 68, 1066)-net over F5, using net defined by OOA based on linear OOA(568, 1066, F5, 21, 16) (dual of [(1066, 21), 22318, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(568, 3199, F5, 3, 16) (dual of [(3199, 3), 9529, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(568, 3201, F5, 3, 16) (dual of [(3201, 3), 9535, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(568, 3201, F5, 16) (dual of [3201, 3133, 17]-code), using
- 69 step Varšamov–Edel lengthening with (ri) = (3, 0, 1, 0, 0, 0, 1, 8 times 0, 1, 17 times 0, 1, 35 times 0) [i] based on linear OA(561, 3125, F5, 16) (dual of [3125, 3064, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- 69 step Varšamov–Edel lengthening with (ri) = (3, 0, 1, 0, 0, 0, 1, 8 times 0, 1, 17 times 0, 1, 35 times 0) [i] based on linear OA(561, 3125, F5, 16) (dual of [3125, 3064, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(568, 3201, F5, 16) (dual of [3201, 3133, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(568, 3201, F5, 3, 16) (dual of [(3201, 3), 9535, 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.