Information on Result #1013540
Linear OOA(5142, 1065, F5, 3, 30) (dual of [(1065, 3), 3053, 31]-NRT-code), using (u, u+v)-construction based on
- linear OOA(520, 20, F5, 3, 15) (dual of [(20, 3), 40, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,44P) [i] based on function field F/F5 with g(F) = 5 and N(F) ≥ 20, using
- linear OOA(5122, 1045, F5, 3, 30) (dual of [(1045, 3), 3013, 31]-NRT-code), using
- OOA 3-folding [i] based on linear OA(5122, 3135, F5, 30) (dual of [3135, 3013, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(5122, 3136, F5, 30) (dual of [3136, 3014, 31]-code), using
- construction X applied to Ce(30) ⊂ Ce(27) [i] based on
- linear OA(5121, 3125, F5, 31) (dual of [3125, 3004, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(5111, 3125, F5, 28) (dual of [3125, 3014, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(51, 11, F5, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(30) ⊂ Ce(27) [i] based on
- discarding factors / shortening the dual code based on linear OA(5122, 3136, F5, 30) (dual of [3136, 3014, 31]-code), using
- OOA 3-folding [i] based on linear OA(5122, 3135, F5, 30) (dual of [3135, 3013, 31]-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.