Information on Result #1725614
Digital (37, 53, 459)-net over F7, using net defined by OOA based on linear OOA(753, 459, F7, 21, 16) (dual of [(459, 21), 9586, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(753, 1378, F7, 3, 16) (dual of [(1378, 3), 4081, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(753, 1379, F7, 3, 16) (dual of [(1379, 3), 4084, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(753, 1379, F7, 16) (dual of [1379, 1326, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(753, 2401, F7, 16) (dual of [2401, 2348, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(753, 2401, F7, 16) (dual of [2401, 2348, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(753, 1379, F7, 16) (dual of [1379, 1326, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(753, 1379, F7, 3, 16) (dual of [(1379, 3), 4084, 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.