Information on Result #897477
Linear OOA(965, 29555, F9, 2, 13) (dual of [(29555, 2), 59045, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(99, 28, F9, 2, 6) (dual of [(28, 2), 47, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,49P) [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(2;F,49P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OOA(956, 29527, F9, 2, 13) (dual of [(29527, 2), 58998, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(956, 59054, F9, 13) (dual of [59054, 58998, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(956, 59049, F9, 13) (dual of [59049, 58993, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(951, 59049, F9, 12) (dual of [59049, 58998, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(90, 5, F9, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- OOA 2-folding [i] based on linear OA(956, 59054, F9, 13) (dual of [59054, 58998, 14]-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.