Information on Result #1840789
(34, 44, 419433)-net in base 32, using net defined by OOA based on OOA(3244, 419433, S32, 10, 10), using
- OA 5-folding and stacking [i] based on OA(3244, 2097165, S32, 10), using
- discarding factors based on OA(3244, 2097167, S32, 10), using
- discarding parts of the base [i] based on linear OA(12831, 2097167, F128, 10) (dual of [2097167, 2097136, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(5) [i] based on
- linear OA(12828, 2097152, F128, 10) (dual of [2097152, 2097124, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(12816, 2097152, F128, 6) (dual of [2097152, 2097136, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(1283, 15, F128, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,128) or 15-cap in PG(2,128)), using
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), using
- Reed–Solomon code RS(125,128) [i]
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), using
- construction X applied to Ce(9) ⊂ Ce(5) [i] based on
- discarding parts of the base [i] based on linear OA(12831, 2097167, F128, 10) (dual of [2097167, 2097136, 11]-code), using
- discarding factors based on OA(3244, 2097167, S32, 10), 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.