Information on Result #685619
Linear OA(7108, 180, F7, 48) (dual of [180, 72, 49]-code), using construction X applied to Ce(47) ⊂ Ce(44) based on
- linear OA(7106, 172, F7, 48) (dual of [172, 66, 49]-code), using an extension Ce(47) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,47], and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(7100, 172, F7, 45) (dual of [172, 72, 46]-code), using an extension Ce(44) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(72, 8, F7, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,7)), using
- extended Reed–Solomon code RSe(6,7) [i]
- Hamming code H(2,7) [i]
- algebraic-geometric code AG(F, Q+1P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F7 with g(F) = 0 and N(F) ≥ 8, using the rational function field F7(x) [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 OOA(7108, 60, F7, 3, 48) (dual of [(60, 3), 72, 49]-NRT-code) | [i] | OOA Folding | |