Information on Result #1196954
Digital (63, 88, 1312)-net over F25, using net defined by OOA based on linear OOA(2588, 1312, F25, 26, 25) (dual of [(1312, 26), 34024, 26]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(2588, 7873, F25, 2, 25) (dual of [(7873, 2), 15658, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2588, 7878, F25, 2, 25) (dual of [(7878, 2), 15668, 26]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2516, 66, F25, 2, 12) (dual of [(66, 2), 116, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,119P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2572, 7812, F25, 2, 25) (dual of [(7812, 2), 15552, 26]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2572, 15624, F25, 25) (dual of [15624, 15552, 26]-code), using
- 1 times truncation [i] based on linear OA(2573, 15625, F25, 26) (dual of [15625, 15552, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 1 times truncation [i] based on linear OA(2573, 15625, F25, 26) (dual of [15625, 15552, 27]-code), using
- OOA 2-folding [i] based on linear OA(2572, 15624, F25, 25) (dual of [15624, 15552, 26]-code), using
- linear OOA(2516, 66, F25, 2, 12) (dual of [(66, 2), 116, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2588, 7878, F25, 2, 25) (dual of [(7878, 2), 15668, 26]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.