Information on Result #3267664
Digital (37, 54, 262146)-net over F128, using 1281 times duplication based on digital (36, 53, 262146)-net over F128, using
- net defined by OOA [i] based on linear OOA(12853, 262146, F128, 17, 17) (dual of [(262146, 17), 4456429, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(12853, 2097169, F128, 17) (dual of [2097169, 2097116, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(12853, 2097171, F128, 17) (dual of [2097171, 2097118, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(11) [i] based on
- linear OA(12849, 2097152, F128, 17) (dual of [2097152, 2097103, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(12834, 2097152, F128, 12) (dual of [2097152, 2097118, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(1284, 19, F128, 4) (dual of [19, 15, 5]-code or 19-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(16) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(12853, 2097171, F128, 17) (dual of [2097171, 2097118, 18]-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(12853, 2097169, F128, 17) (dual of [2097169, 2097116, 18]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | (46, 63, 262146)-net in base 64 | [i] | Base Change | |