Information on Result #1013360
Linear OOA(5111, 26060, F5, 3, 18) (dual of [(26060, 3), 78069, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(512, 16, F5, 3, 9) (dual of [(16, 3), 36, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,38P) [i] based on function field F/F5 with g(F) = 3 and N(F) ≥ 16, using
- linear OOA(599, 26044, F5, 3, 18) (dual of [(26044, 3), 78033, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(599, 78132, F5, 18) (dual of [78132, 78033, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(599, 78125, F5, 18) (dual of [78125, 78026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(592, 78125, F5, 17) (dual of [78125, 78033, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(50, 7, F5, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- OOA 3-folding [i] based on linear OA(599, 78132, F5, 18) (dual of [78132, 78033, 19]-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.