Information on Result #1013999
Linear OOA(782, 5618, F7, 3, 17) (dual of [(5618, 3), 16772, 18]-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(771, 5604, F7, 3, 17) (dual of [(5604, 3), 16741, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(771, 16812, F7, 17) (dual of [16812, 16741, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(771, 16807, F7, 17) (dual of [16807, 16736, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- 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(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(16) ⊂ Ce(15) [i] based on
- OOA 3-folding [i] based on linear OA(771, 16812, F7, 17) (dual of [16812, 16741, 18]-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.