Information on Result #1014084
Linear OOA(7102, 5617, F7, 3, 21) (dual of [(5617, 3), 16749, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(711, 13, F7, 3, 10) (dual of [(13, 3), 28, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 11, 13)-net over F7, using
- 2 times m-reduction [i] based on digital (1, 13, 13)-net over F7, using
- extracting embedded OOA [i] based on digital (1, 11, 13)-net over F7, using
- linear OOA(791, 5604, F7, 3, 21) (dual of [(5604, 3), 16721, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(791, 16812, F7, 21) (dual of [16812, 16721, 22]-code), using
- 1 times truncation [i] based on linear OA(792, 16813, F7, 22) (dual of [16813, 16721, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- linear OA(791, 16807, F7, 22) (dual of [16807, 16716, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(786, 16807, F7, 20) (dual of [16807, 16721, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(71, 6, F7, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- 1 times truncation [i] based on linear OA(792, 16813, F7, 22) (dual of [16813, 16721, 23]-code), using
- OOA 3-folding [i] based on linear OA(791, 16812, F7, 21) (dual of [16812, 16721, 22]-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.