Information on Result #690344
Linear OA(9133, 756, F9, 47) (dual of [756, 623, 48]-code), using construction X applied to Ce(46) ⊂ Ce(39) based on
- linear OA(9124, 729, F9, 47) (dual of [729, 605, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(9106, 729, F9, 40) (dual of [729, 623, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(99, 27, F9, 6) (dual of [27, 18, 7]-code), using
- discarding factors / shortening the dual code based on 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
- discarding factors / shortening the dual code based on linear OA(99, 28, F9, 6) (dual of [28, 19, 7]-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.
Other Results with Identical Parameters
None.
Depending Results
None.