Information on Result #713626
Linear OA(770, 364, F7, 25) (dual of [364, 294, 26]-code), using construction XX applied to C1 = C([339,18]), C2 = C([1,21]), C3 = C1 + C2 = C([1,18]), and C∩ = C1 ∩ C2 = C([339,21]) based on
- linear OA(758, 342, F7, 22) (dual of [342, 284, 23]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−3,−2,…,18}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(754, 342, F7, 21) (dual of [342, 288, 22]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(764, 342, F7, 25) (dual of [342, 278, 26]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−3,−2,…,21}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(748, 342, F7, 18) (dual of [342, 294, 19]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(770, 182, F7, 2, 25) (dual of [(182, 2), 294, 26]-NRT-code) | [i] | OOA Folding | |