Information on Result #713394
Linear OA(752, 364, F7, 18) (dual of [364, 312, 19]-code), using construction XX applied to C1 = C([339,11]), C2 = C([1,14]), C3 = C1 + C2 = C([1,11]), and C∩ = C1 ∩ C2 = C([339,14]) based on
- linear OA(740, 342, F7, 15) (dual of [342, 302, 16]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−3,−2,…,11}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(736, 342, F7, 14) (dual of [342, 306, 15]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(746, 342, F7, 18) (dual of [342, 296, 19]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−3,−2,…,14}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(730, 342, F7, 11) (dual of [342, 312, 12]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(74, 14, F7, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,7)), using
- 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(752, 182, F7, 2, 18) (dual of [(182, 2), 312, 19]-NRT-code) | [i] | OOA Folding | |