Information on Result #1722816
Digital (117, 133, 1961391)-net over F5, using net defined by OOA based on linear OOA(5133, 1961391, F5, 21, 16) (dual of [(1961391, 21), 41189078, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(5133, 5884174, F5, 3, 16) (dual of [(5884174, 3), 17652389, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5133, 5884176, F5, 3, 16) (dual of [(5884176, 3), 17652395, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5133, 5884176, F5, 16) (dual of [5884176, 5884043, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(5133, large, F5, 16) (dual of [large, large−133, 17]-code), using
- 12 times code embedding in larger space [i] based on linear OA(5121, large, F5, 16) (dual of [large, large−121, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- 12 times code embedding in larger space [i] based on linear OA(5121, large, F5, 16) (dual of [large, large−121, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(5133, large, F5, 16) (dual of [large, large−133, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5133, 5884176, F5, 16) (dual of [5884176, 5884043, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(5133, 5884176, F5, 3, 16) (dual of [(5884176, 3), 17652395, 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.