Information on Result #691423
Linear OA(989, 116, F9, 52) (dual of [116, 27, 53]-code), using construction XX applied to Ce(51) ⊂ Ce(40) ⊂ Ce(34) based on
- linear OA(968, 81, F9, 52) (dual of [81, 13, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(957, 81, F9, 41) (dual of [81, 24, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(954, 81, F9, 35) (dual of [81, 27, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(913, 27, F9, 10) (dual of [27, 14, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(913, 28, F9, 10) (dual of [28, 15, 11]-code), using
- extended algebraic-geometric code AGe(F,17P) [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,17P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OA(913, 28, F9, 10) (dual of [28, 15, 11]-code), using
- linear OA(95, 8, F9, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,9)), using
- discarding factors / shortening the dual code based on linear OA(95, 9, F9, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,9)), using
- Reed–Solomon code RS(4,9) [i]
- discarding factors / shortening the dual code based on linear OA(95, 9, F9, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,9)), 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.