Information on Result #691453
Linear OA(979, 119, F9, 41) (dual of [119, 40, 42]-code), using construction XX applied to Ce(40) ⊂ Ce(30) ⊂ Ce(24) based on
- 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(946, 81, F9, 31) (dual of [81, 35, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(941, 81, F9, 25) (dual of [81, 40, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(912, 28, F9, 9) (dual of [28, 16, 10]-code), using
- extended algebraic-geometric code AGe(F,18P) [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,18P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OA(95, 10, F9, 5) (dual of [10, 5, 6]-code or 10-arc in PG(4,9)), using
- extended Reed–Solomon code RSe(5,9) [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.