Information on Result #1013499
Linear OOA(5140, 5229, F5, 3, 26) (dual of [(5229, 3), 15547, 27]-NRT-code), using (u, u+v)-construction based on
- linear OOA(519, 21, F5, 3, 13) (dual of [(21, 3), 44, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,49P) [i] based on function field F/F5 with g(F) = 6 and N(F) ≥ 21, using
- linear OOA(5121, 5208, F5, 3, 26) (dual of [(5208, 3), 15503, 27]-NRT-code), using
- OOA 3-folding [i] based on linear OA(5121, 15624, F5, 26) (dual of [15624, 15503, 27]-code), using
- discarding factors / shortening the dual code based on 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]
- discarding factors / shortening the dual code based on linear OA(5121, 15625, F5, 26) (dual of [15625, 15504, 27]-code), using
- OOA 3-folding [i] based on linear OA(5121, 15624, F5, 26) (dual of [15624, 15503, 27]-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.