Information on Result #3279373
(52, 72, 1639)-net in base 16, using 161 times duplication based on (51, 71, 1639)-net in base 16, using
- net defined by OOA [i] based on OOA(1671, 1639, S16, 20, 20), using
- OA 10-folding and stacking [i] based on OA(1671, 16390, S16, 20), using
- 1 times code embedding in larger space [i] based on OA(1670, 16389, S16, 20), using
- discarding parts of the base [i] based on linear OA(12840, 16389, F128, 20) (dual of [16389, 16349, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- linear OA(12839, 16384, F128, 20) (dual of [16384, 16345, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(12835, 16384, F128, 18) (dual of [16384, 16349, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- discarding parts of the base [i] based on linear OA(12840, 16389, F128, 20) (dual of [16389, 16349, 21]-code), using
- 1 times code embedding in larger space [i] based on OA(1670, 16389, S16, 20), using
- OA 10-folding and stacking [i] based on OA(1671, 16390, S16, 20), using
Mode: Constructive.
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.