Information on Result #691368
Linear OA(9106, 116, F9, 77) (dual of [116, 10, 78]-code), using construction XX applied to Ce(79) ⊂ Ce(59) ⊂ Ce(52) based on
- linear OA(980, 81, F9, 80) (dual of [81, 1, 81]-code or 81-arc in PG(79,9)), using an extension Ce(79) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,79], and designed minimum distance d ≥ |I|+1 = 80 [i]
- linear OA(972, 81, F9, 60) (dual of [81, 9, 61]-code), using an extension Ce(59) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,59], and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(970, 81, F9, 53) (dual of [81, 11, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [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(96, 7, F9, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,9)), using
- dual of repetition code with length 7 [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.