Information on Result #2506818
Linear OOA(792, 183, F7, 2, 33) (dual of [(183, 2), 274, 34]-NRT-code), using 71 times duplication based on linear OOA(791, 183, F7, 2, 33) (dual of [(183, 2), 275, 34]-NRT-code), using
- OOA 2-folding [i] based on linear OA(791, 366, F7, 33) (dual of [366, 275, 34]-code), using
- construction XX applied to C1 = C([338,25]), C2 = C([0,28]), C3 = C1 + C2 = C([0,25]), and C∩ = C1 ∩ C2 = C([338,28]) [i] based on
- linear OA(779, 342, F7, 30) (dual of [342, 263, 31]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−4,−3,…,25}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(773, 342, F7, 29) (dual of [342, 269, 30]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(785, 342, F7, 33) (dual of [342, 257, 34]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−4,−3,…,28}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(767, 342, F7, 26) (dual of [342, 275, 27]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,25], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(74, 16, F7, 3) (dual of [16, 12, 4]-code or 16-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]
- construction XX applied to C1 = C([338,25]), C2 = C([0,28]), C3 = C1 + C2 = C([0,25]), and C∩ = C1 ∩ C2 = C([338,28]) [i] based on
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.