Information on Result #1013986
Linear OOA(7104, 274533, F7, 3, 16) (dual of [(274533, 3), 823495, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(79, 13, F7, 3, 8) (dual of [(13, 3), 30, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 9, 13)-net over F7, using
- 4 times m-reduction [i] based on digital (1, 13, 13)-net over F7, using
- extracting embedded OOA [i] based on digital (1, 9, 13)-net over F7, using
- linear OOA(795, 274520, F7, 3, 16) (dual of [(274520, 3), 823465, 17]-NRT-code), using
- OOA 3-folding [i] based on linear OA(795, 823560, F7, 16) (dual of [823560, 823465, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- linear OA(792, 823543, F7, 16) (dual of [823543, 823451, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(778, 823543, F7, 13) (dual of [823543, 823465, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(73, 17, F7, 2) (dual of [17, 14, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(73, 48, F7, 2) (dual of [48, 45, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(73, 48, F7, 2) (dual of [48, 45, 3]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- OOA 3-folding [i] based on linear OA(795, 823560, F7, 16) (dual of [823560, 823465, 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.