Information on Result #690596
Linear OA(9122, 758, F9, 42) (dual of [758, 636, 43]-code), using construction XX applied to Ce(41) ⊂ Ce(34) ⊂ Ce(33) based on
- linear OA(9112, 729, F9, 42) (dual of [729, 617, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(994, 729, F9, 35) (dual of [729, 635, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(991, 729, F9, 34) (dual of [729, 638, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(99, 28, F9, 6) (dual of [28, 19, 7]-code), using
- extended algebraic-geometric code AGe(F,21P) [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,21P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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.
Other Results with Identical Parameters
None.
Depending Results
None.