Information on Result #2253225
Linear OA(9108, 121, F9, 75) (dual of [121, 13, 76]-code), using 2 times truncation based on linear OA(9110, 123, F9, 77) (dual of [123, 13, 78]-code), using
- construction XX applied to C1 = C([61,49]), C2 = C([0,59]), C3 = C1 + C2 = C([0,49]), and C∩ = C1 ∩ C2 = C([61,59]) [i] based on
- linear OA(976, 80, F9, 69) (dual of [80, 4, 70]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−19,−18,…,49}, and designed minimum distance d ≥ |I|+1 = 70 [i]
- linear OA(972, 80, F9, 60) (dual of [80, 8, 61]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,59], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(979, 80, F9, 79) (dual of [80, 1, 80]-code or 80-arc in PG(78,9)), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−19,−18,…,59}, and designed minimum distance d ≥ |I|+1 = 80 [i]
- linear OA(965, 80, F9, 50) (dual of [80, 15, 51]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,49], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(919, 28, F9, 16) (dual of [28, 9, 17]-code), using
- extended algebraic-geometric code AGe(F,11P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric code AGe(F,11P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OA(910, 15, F9, 9) (dual of [15, 5, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- discarding factors / shortening the dual code based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.