Information on Result #2247729
Linear OA(798, 102, F7, 82) (dual of [102, 4, 83]-code), using 10 times truncation based on linear OA(7108, 112, F7, 92) (dual of [112, 4, 93]-code), using
- construction XX applied to Ce(95) ⊂ Ce(81) ⊂ Ce(79) [i] based on
- linear OA(796, 97, F7, 96) (dual of [97, 1, 97]-code or 97-arc in PG(95,7)), using an extension Ce(95) of the narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [1,95], and designed minimum distance d ≥ |I|+1 = 96 [i]
- linear OA(794, 97, F7, 82) (dual of [97, 3, 83]-code), using an extension Ce(81) of the narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [1,81], and designed minimum distance d ≥ |I|+1 = 82 [i]
- linear OA(793, 97, F7, 80) (dual of [97, 4, 81]-code), using an extension Ce(79) of the narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [1,79], and designed minimum distance d ≥ |I|+1 = 80 [i]
- linear OA(710, 13, F7, 9) (dual of [13, 3, 10]-code), using
- extracting embedded orthogonal array [i] based on digital (1, 10, 13)-net over F7, using
- 3 times m-reduction [i] based on digital (1, 13, 13)-net over F7, using
- extracting embedded orthogonal array [i] based on digital (1, 10, 13)-net over F7, using
- linear OA(71, 2, F7, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
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.