Information on Result #1196768
Digital (54, 75, 1575)-net over F25, using net defined by OOA based on linear OOA(2575, 1575, F25, 22, 21) (dual of [(1575, 22), 34575, 22]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(2575, 7876, F25, 2, 21) (dual of [(7876, 2), 15677, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2575, 7880, F25, 2, 21) (dual of [(7880, 2), 15685, 22]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2514, 66, F25, 2, 10) (dual of [(66, 2), 118, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,121P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2561, 7814, F25, 2, 21) (dual of [(7814, 2), 15567, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2561, 15628, F25, 21) (dual of [15628, 15567, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(2561, 15625, F25, 21) (dual of [15625, 15564, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2558, 15625, F25, 20) (dual of [15625, 15567, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- OOA 2-folding [i] based on linear OA(2561, 15628, F25, 21) (dual of [15628, 15567, 22]-code), using
- linear OOA(2514, 66, F25, 2, 10) (dual of [(66, 2), 118, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2575, 7880, F25, 2, 21) (dual of [(7880, 2), 15685, 22]-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.