Information on Result #1720418
Digital (148, 180, 2612)-net over F4, using net defined by OOA based on linear OOA(4180, 2612, F4, 39, 32) (dual of [(2612, 39), 101688, 33]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(4180, 15673, F4, 3, 32) (dual of [(15673, 3), 46839, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4180, 15678, F4, 3, 32) (dual of [(15678, 3), 46854, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4180, 15678, F4, 32) (dual of [15678, 15498, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(4180, 16430, F4, 32) (dual of [16430, 16250, 33]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4179, 16429, F4, 32) (dual of [16429, 16250, 33]-code), using
- construction X applied to Ce(32) ⊂ Ce(25) [i] based on
- linear OA(4169, 16384, F4, 33) (dual of [16384, 16215, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(4134, 16384, F4, 26) (dual of [16384, 16250, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(410, 45, F4, 5) (dual of [45, 35, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- construction X applied to Ce(32) ⊂ Ce(25) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4179, 16429, F4, 32) (dual of [16429, 16250, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(4180, 16430, F4, 32) (dual of [16430, 16250, 33]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4180, 15678, F4, 32) (dual of [15678, 15498, 33]-code), using
- discarding factors / shortening the dual code based on linear OOA(4180, 15678, F4, 3, 32) (dual of [(15678, 3), 46854, 33]-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.