Information on Result #1718922
Digital (154, 176, 131081)-net over F4, using net defined by OOA based on linear OOA(4176, 131081, F4, 27, 22) (dual of [(131081, 27), 3539011, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4176, 524325, F4, 3, 22) (dual of [(524325, 3), 1572799, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4176, 524325, F4, 2, 22) (dual of [(524325, 2), 1048474, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4176, 1048650, F4, 22) (dual of [1048650, 1048474, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(4176, 1048651, F4, 22) (dual of [1048651, 1048475, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(13) [i] based on
- 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(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(415, 75, F4, 7) (dual of [75, 60, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(415, 85, F4, 7) (dual of [85, 70, 8]-code), using
- construction X applied to Ce(21) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(4176, 1048651, F4, 22) (dual of [1048651, 1048475, 23]-code), using
- OOA 2-folding [i] based on linear OA(4176, 1048650, F4, 22) (dual of [1048650, 1048474, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4176, 524325, F4, 2, 22) (dual of [(524325, 2), 1048474, 23]-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.