Information on Result #1013981
Linear OOA(777, 5618, F7, 3, 16) (dual of [(5618, 3), 16777, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(711, 14, F7, 3, 8) (dual of [(14, 3), 31, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 11, 14)-net over F7, using
- 3 times m-reduction [i] based on digital (3, 14, 14)-net over F7, using
- extracting embedded OOA [i] based on digital (3, 11, 14)-net over F7, using
- linear OOA(766, 5604, F7, 3, 16) (dual of [(5604, 3), 16746, 17]-NRT-code), using
- OOA 3-folding [i] based on linear OA(766, 16812, F7, 16) (dual of [16812, 16746, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(766, 16807, F7, 16) (dual of [16807, 16741, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(761, 16807, F7, 15) (dual of [16807, 16746, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(70, 5, F7, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- OOA 3-folding [i] based on linear OA(766, 16812, F7, 16) (dual of [16812, 16746, 17]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.