Information on Result #1717364
Digital (51, 59, 131087)-net over F4, using net defined by OOA based on linear OOA(459, 131087, F4, 10, 8) (dual of [(131087, 10), 1310811, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(459, 262175, F4, 2, 8) (dual of [(262175, 2), 524291, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(459, 262175, F4, 8) (dual of [262175, 262116, 9]-code), using
- 1 times truncation [i] based on linear OA(460, 262176, F4, 9) (dual of [262176, 262116, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(4) [i] based on
- linear OA(455, 262144, F4, 9) (dual of [262144, 262089, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(428, 262144, F4, 5) (dual of [262144, 262116, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(45, 32, F4, 3) (dual of [32, 27, 4]-code or 32-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(8) ⊂ Ce(4) [i] based on
- 1 times truncation [i] based on linear OA(460, 262176, F4, 9) (dual of [262176, 262116, 10]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(459, 262175, F4, 8) (dual of [262175, 262116, 9]-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.