Information on Result #1719758
Digital (182, 209, 101864)-net over F4, using net defined by OOA based on linear OOA(4209, 101864, F4, 33, 27) (dual of [(101864, 33), 3361303, 28]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4209, 509321, F4, 3, 27) (dual of [(509321, 3), 1527754, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4209, 509322, F4, 3, 27) (dual of [(509322, 3), 1527757, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4209, 509322, F4, 2, 27) (dual of [(509322, 2), 1018435, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4209, 524312, F4, 2, 27) (dual of [(524312, 2), 1048415, 28]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4209, 1048624, F4, 27) (dual of [1048624, 1048415, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(21) [i] based on
- linear OA(4201, 1048576, F4, 27) (dual of [1048576, 1048375, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(4161, 1048576, F4, 22) (dual of [1048576, 1048415, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(48, 48, F4, 4) (dual of [48, 40, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(48, 85, F4, 4) (dual of [85, 77, 5]-code), using
- construction X applied to Ce(26) ⊂ Ce(21) [i] based on
- OOA 2-folding [i] based on linear OA(4209, 1048624, F4, 27) (dual of [1048624, 1048415, 28]-code), using
- discarding factors / shortening the dual code based on linear OOA(4209, 524312, F4, 2, 27) (dual of [(524312, 2), 1048415, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4209, 509322, F4, 2, 27) (dual of [(509322, 2), 1018435, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4209, 509322, F4, 3, 27) (dual of [(509322, 3), 1527757, 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.