Information on Result #685805
Linear OA(798, 107, F7, 70) (dual of [107, 9, 71]-code), using construction XX applied to Ce(79) ⊂ Ce(65) ⊂ Ce(63) based on
- 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(789, 97, F7, 66) (dual of [97, 8, 67]-code), using an extension Ce(65) of the narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [1,65], and designed minimum distance d ≥ |I|+1 = 66 [i]
- linear OA(788, 97, F7, 64) (dual of [97, 9, 65]-code), using an extension Ce(63) of the narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [1,63], and designed minimum distance d ≥ |I|+1 = 64 [i]
- linear OA(73, 8, F7, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,7) or 8-cap in PG(2,7)), using
- extended Reed–Solomon code RSe(5,7) [i]
- oval in PG(2, 7) [i]
- 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(797, 106, F7, 69) (dual of [106, 9, 70]-code) | [i] | Truncation | |