Information on Result #691224
Linear OA(990, 108, F9, 60) (dual of [108, 18, 61]-code), using construction X applied to Ce(59) ⊂ Ce(43) based on
- 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(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(918, 27, F9, 15) (dual of [27, 9, 16]-code), using
- algebraic-geometric code AG(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]
- algebraic-geometric code AG(F,11P) [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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(990, 54, F9, 2, 60) (dual of [(54, 2), 18, 61]-NRT-code) | [i] | OOA Folding | |