Information on Result #3265029
Digital (59, 90, 1042)-net over F25, using 251 times duplication based on digital (58, 89, 1042)-net over F25, using
- net defined by OOA [i] based on linear OOA(2589, 1042, F25, 31, 31) (dual of [(1042, 31), 32213, 32]-NRT-code), using
- OOA 15-folding and stacking with additional row [i] based on linear OA(2589, 15631, F25, 31) (dual of [15631, 15542, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(2589, 15632, F25, 31) (dual of [15632, 15543, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- linear OA(2588, 15625, F25, 31) (dual of [15625, 15537, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2582, 15625, F25, 29) (dual of [15625, 15543, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(251, 7, F25, 1) (dual of [7, 6, 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(30) ⊂ Ce(28) [i] based on
- discarding factors / shortening the dual code based on linear OA(2589, 15632, F25, 31) (dual of [15632, 15543, 32]-code), using
- OOA 15-folding and stacking with additional row [i] based on linear OA(2589, 15631, F25, 31) (dual of [15631, 15542, 32]-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.