Information on Result #1719672
Digital (127, 154, 3277)-net over F4, using net defined by OOA based on linear OOA(4154, 3277, F4, 33, 27) (dual of [(3277, 33), 107987, 28]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4154, 16386, F4, 3, 27) (dual of [(16386, 3), 49004, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4154, 16390, F4, 3, 27) (dual of [(16390, 3), 49016, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4154, 16390, F4, 27) (dual of [16390, 16236, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(4154, 16432, F4, 27) (dual of [16432, 16278, 28]-code), using
- 3 times code embedding in larger space [i] based on linear OA(4151, 16429, F4, 27) (dual of [16429, 16278, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(20) [i] based on
- linear OA(4141, 16384, F4, 27) (dual of [16384, 16243, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(4106, 16384, F4, 21) (dual of [16384, 16278, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(26) ⊂ Ce(20) [i] based on
- 3 times code embedding in larger space [i] based on linear OA(4151, 16429, F4, 27) (dual of [16429, 16278, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(4154, 16432, F4, 27) (dual of [16432, 16278, 28]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4154, 16390, F4, 27) (dual of [16390, 16236, 28]-code), using
- discarding factors / shortening the dual code based on linear OOA(4154, 16390, F4, 3, 27) (dual of [(16390, 3), 49016, 28]-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.