Information on Result #1719840
Digital (133, 161, 3287)-net over F4, using net defined by OOA based on linear OOA(4161, 3287, F4, 33, 28) (dual of [(3287, 33), 108310, 29]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4161, 16436, F4, 3, 28) (dual of [(16436, 3), 49147, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4161, 16439, F4, 3, 28) (dual of [(16439, 3), 49156, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4161, 16439, F4, 28) (dual of [16439, 16278, 29]-code), using
- construction X applied to Ce(28) ⊂ Ce(20) [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(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(413, 55, F4, 6) (dual of [55, 42, 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(20) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4161, 16439, F4, 28) (dual of [16439, 16278, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(4161, 16439, F4, 3, 28) (dual of [(16439, 3), 49156, 29]-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.