Information on Result #3267648
Digital (37, 53, 262147)-net over F128, using 1281 times duplication based on digital (36, 52, 262147)-net over F128, using
- net defined by OOA [i] based on linear OOA(12852, 262147, F128, 16, 16) (dual of [(262147, 16), 4194300, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(12852, 2097176, F128, 16) (dual of [2097176, 2097124, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(12852, 2097179, F128, 16) (dual of [2097179, 2097127, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(8) [i] based on
- linear OA(12846, 2097152, F128, 16) (dual of [2097152, 2097106, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(12825, 2097152, F128, 9) (dual of [2097152, 2097127, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(1286, 27, F128, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,128)), using
- discarding factors / shortening the dual code based on linear OA(1286, 128, F128, 6) (dual of [128, 122, 7]-code or 128-arc in PG(5,128)), using
- Reed–Solomon code RS(122,128) [i]
- discarding factors / shortening the dual code based on linear OA(1286, 128, F128, 6) (dual of [128, 122, 7]-code or 128-arc in PG(5,128)), using
- construction X applied to Ce(15) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(12852, 2097179, F128, 16) (dual of [2097179, 2097127, 17]-code), using
- OA 8-folding and stacking [i] based on linear OA(12852, 2097176, F128, 16) (dual of [2097176, 2097124, 17]-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.