Information on Result #1718004
Digital (96, 111, 172910)-net over F4, using net defined by OOA based on linear OOA(4111, 172910, F4, 21, 15) (dual of [(172910, 21), 3630999, 16]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4111, 518731, F4, 3, 15) (dual of [(518731, 3), 1556082, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4111, 518733, F4, 3, 15) (dual of [(518733, 3), 1556088, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4111, 518733, F4, 2, 15) (dual of [(518733, 2), 1037355, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4111, 524293, F4, 2, 15) (dual of [(524293, 2), 1048475, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4111, 1048586, F4, 15) (dual of [1048586, 1048475, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(4111, 1048576, F4, 15) (dual of [1048576, 1048465, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(4101, 1048576, F4, 14) (dual of [1048576, 1048475, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(40, 10, F4, 0) (dual of [10, 10, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- OOA 2-folding [i] based on linear OA(4111, 1048586, F4, 15) (dual of [1048586, 1048475, 16]-code), using
- discarding factors / shortening the dual code based on linear OOA(4111, 524293, F4, 2, 15) (dual of [(524293, 2), 1048475, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4111, 518733, F4, 2, 15) (dual of [(518733, 2), 1037355, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4111, 518733, F4, 3, 15) (dual of [(518733, 3), 1556088, 16]-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.