Information on Result #1013483
Linear OOA(5117, 1061, F5, 3, 25) (dual of [(1061, 3), 3066, 26]-NRT-code), using (u, u+v)-construction based on
- linear OOA(517, 20, F5, 3, 12) (dual of [(20, 3), 43, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,47P) [i] based on function field F/F5 with g(F) = 5 and N(F) ≥ 20, using
- linear OOA(5100, 1041, F5, 3, 25) (dual of [(1041, 3), 3023, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(5100, 3123, F5, 25) (dual of [3123, 3023, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(5100, 3124, F5, 25) (dual of [3124, 3024, 26]-code), using
- 1 times truncation [i] based on linear OA(5101, 3125, F5, 26) (dual of [3125, 3024, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 1 times truncation [i] based on linear OA(5101, 3125, F5, 26) (dual of [3125, 3024, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(5100, 3124, F5, 25) (dual of [3124, 3024, 26]-code), using
- OOA 3-folding [i] based on linear OA(5100, 3123, F5, 25) (dual of [3123, 3023, 26]-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.