Information on Result #1719996
Digital (132, 161, 2687)-net over F4, using net defined by OOA based on linear OOA(4161, 2687, F4, 33, 29) (dual of [(2687, 33), 88510, 30]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4161, 13436, F4, 3, 29) (dual of [(13436, 3), 40147, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4161, 13439, F4, 3, 29) (dual of [(13439, 3), 40156, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4161, 13439, F4, 29) (dual of [13439, 13278, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(4161, 16432, F4, 29) (dual of [16432, 16271, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- linear OA(4148, 16384, F4, 29) (dual of [16384, 16236, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4113, 16384, F4, 22) (dual of [16384, 16271, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(413, 48, F4, 6) (dual of [48, 35, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(4161, 16432, F4, 29) (dual of [16432, 16271, 30]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4161, 13439, F4, 29) (dual of [13439, 13278, 30]-code), using
- discarding factors / shortening the dual code based on linear OOA(4161, 13439, F4, 3, 29) (dual of [(13439, 3), 40156, 30]-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.