Information on Result #1720300
Digital (155, 186, 6555)-net over F4, using net defined by OOA based on linear OOA(4186, 6555, F4, 33, 31) (dual of [(6555, 33), 216129, 32]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4186, 32776, F4, 3, 31) (dual of [(32776, 3), 98142, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4186, 32776, F4, 2, 31) (dual of [(32776, 2), 65366, 32]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4186, 65552, F4, 31) (dual of [65552, 65366, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(4186, 65553, F4, 31) (dual of [65553, 65367, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- linear OA(4185, 65536, F4, 31) (dual of [65536, 65351, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(41, 17, F4, 1) (dual of [17, 16, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- discarding factors / shortening the dual code based on linear OA(4186, 65553, F4, 31) (dual of [65553, 65367, 32]-code), using
- OOA 2-folding [i] based on linear OA(4186, 65552, F4, 31) (dual of [65552, 65366, 32]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4186, 32776, F4, 2, 31) (dual of [(32776, 2), 65366, 32]-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.