Information on Result #1013511
Linear OOA(5144, 5228, F5, 3, 27) (dual of [(5228, 3), 15540, 28]-NRT-code), using (u, u+v)-construction based on
- linear OOA(517, 18, F5, 3, 13) (dual of [(18, 3), 37, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,40P) [i] based on function field F/F5 with g(F) = 4 and N(F) ≥ 18, using
- linear OOA(5127, 5210, F5, 3, 27) (dual of [(5210, 3), 15503, 28]-NRT-code), using
- OOA 3-folding [i] based on linear OA(5127, 15630, F5, 27) (dual of [15630, 15503, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(5127, 15631, F5, 27) (dual of [15631, 15504, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- linear OA(5127, 15625, F5, 27) (dual of [15625, 15498, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(5121, 15625, F5, 26) (dual of [15625, 15504, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(50, 6, F5, 0) (dual of [6, 6, 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(26) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(5127, 15631, F5, 27) (dual of [15631, 15504, 28]-code), using
- OOA 3-folding [i] based on linear OA(5127, 15630, F5, 27) (dual of [15630, 15503, 28]-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.