Information on Result #691343
Linear OA(977, 109, F9, 44) (dual of [109, 32, 45]-code), using construction X applied to Ce(43) ⊂ Ce(31) based on
- linear OA(963, 81, F9, 44) (dual of [81, 18, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(948, 81, F9, 32) (dual of [81, 33, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(914, 28, F9, 11) (dual of [28, 14, 12]-code), using
- extended algebraic-geometric code AGe(F,16P) [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,16P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, 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.