Information on Result #691318
Linear OA(966, 106, F9, 35) (dual of [106, 40, 36]-code), using construction X applied to Ce(34) ⊂ Ce(24) based on
- linear OA(954, 81, F9, 35) (dual of [81, 27, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [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, 25, F9, 9) (dual of [25, 13, 10]-code), using
- discarding factors / shortening the dual code based on 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
- discarding factors / shortening the dual code based on linear OA(912, 28, F9, 9) (dual of [28, 16, 10]-code), 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.