Information on Result #1722782
Digital (94, 110, 302724)-net over F5, using net defined by OOA based on linear OOA(5110, 302724, F5, 21, 16) (dual of [(302724, 21), 6357094, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(5110, 908173, F5, 3, 16) (dual of [(908173, 3), 2724409, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5110, 908175, F5, 3, 16) (dual of [(908175, 3), 2724415, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(5110, 908175, F5, 2, 16) (dual of [(908175, 2), 1816240, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5110, 976567, F5, 2, 16) (dual of [(976567, 2), 1953024, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5110, 1953134, F5, 16) (dual of [1953134, 1953024, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(5110, 1953135, F5, 16) (dual of [1953135, 1953025, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- linear OA(5109, 1953125, F5, 16) (dual of [1953125, 1953016, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(5100, 1953125, F5, 14) (dual of [1953125, 1953025, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(51, 10, F5, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(5110, 1953135, F5, 16) (dual of [1953135, 1953025, 17]-code), using
- OOA 2-folding [i] based on linear OA(5110, 1953134, F5, 16) (dual of [1953134, 1953024, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(5110, 976567, F5, 2, 16) (dual of [(976567, 2), 1953024, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(5110, 908175, F5, 2, 16) (dual of [(908175, 2), 1816240, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5110, 908175, F5, 3, 16) (dual of [(908175, 3), 2724415, 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.