Information on Result #1196956
Digital (64, 89, 1313)-net over F25, using net defined by OOA based on linear OOA(2589, 1313, F25, 26, 25) (dual of [(1313, 26), 34049, 26]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(2589, 7879, F25, 2, 25) (dual of [(7879, 2), 15669, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2589, 7880, F25, 2, 25) (dual of [(7880, 2), 15671, 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(2573, 7814, F25, 2, 25) (dual of [(7814, 2), 15555, 26]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2573, 15628, F25, 25) (dual of [15628, 15555, 26]-code), using
- 1 times truncation [i] based on linear OA(2574, 15629, F25, 26) (dual of [15629, 15555, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(23) [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]
- linear OA(2570, 15625, F25, 24) (dual of [15625, 15555, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(251, 4, F25, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- 1 times truncation [i] based on linear OA(2574, 15629, F25, 26) (dual of [15629, 15555, 27]-code), using
- OOA 2-folding [i] based on linear OA(2573, 15628, F25, 25) (dual of [15628, 15555, 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(2589, 7880, F25, 2, 25) (dual of [(7880, 2), 15671, 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.