Information on Result #1016315
Linear OOA(9118, 1594356, F9, 3, 17) (dual of [(1594356, 3), 4782950, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(911, 28, F9, 3, 8) (dual of [(28, 3), 73, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,75P) [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 NRT-code AGe(3;F,75P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OOA(9107, 1594328, F9, 3, 17) (dual of [(1594328, 3), 4782877, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(9107, 4782984, F9, 17) (dual of [4782984, 4782877, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- linear OA(9106, 4782969, F9, 17) (dual of [4782969, 4782863, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(992, 4782969, F9, 15) (dual of [4782969, 4782877, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(91, 15, F9, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- OOA 3-folding [i] based on linear OA(9107, 4782984, F9, 17) (dual of [4782984, 4782877, 18]-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.