Information on Result #691462
Linear OA(975, 114, F9, 40) (dual of [114, 39, 41]-code), using construction XX applied to Ce(39) ⊂ Ce(29) ⊂ Ce(24) based on
- linear OA(956, 81, F9, 40) (dual of [81, 25, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(945, 81, F9, 30) (dual of [81, 36, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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, 26, F9, 9) (dual of [26, 14, 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
- linear OA(94, 7, F9, 4) (dual of [7, 3, 5]-code or 7-arc in PG(3,9)), using
- discarding factors / shortening the dual code based on linear OA(94, 9, F9, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), using
- Reed–Solomon code RS(5,9) [i]
- discarding factors / shortening the dual code based on linear OA(94, 9, F9, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), 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.