Information on Result #1746912
Digital (13, 23, 8198)-net over F128, using net defined by OOA based on linear OOA(12823, 8198, F128, 15, 10) (dual of [(8198, 15), 122947, 11]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12823, 16397, F128, 3, 10) (dual of [(16397, 3), 49168, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12823, 16398, F128, 3, 10) (dual of [(16398, 3), 49171, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12823, 16398, F128, 10) (dual of [16398, 16375, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(4) [i] based on
- linear OA(12819, 16384, F128, 10) (dual of [16384, 16365, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(1289, 16384, F128, 5) (dual of [16384, 16375, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(1284, 14, F128, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,128)), using
- discarding factors / shortening the dual code based on linear OA(1284, 128, F128, 4) (dual of [128, 124, 5]-code or 128-arc in PG(3,128)), using
- Reed–Solomon code RS(124,128) [i]
- discarding factors / shortening the dual code based on linear OA(1284, 128, F128, 4) (dual of [128, 124, 5]-code or 128-arc in PG(3,128)), using
- construction X applied to Ce(9) ⊂ Ce(4) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12823, 16398, F128, 10) (dual of [16398, 16375, 11]-code), using
- discarding factors / shortening the dual code based on linear OOA(12823, 16398, F128, 3, 10) (dual of [(16398, 3), 49171, 11]-NRT-code), using
Mode: 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.