Information on Result #1720784
Digital (223, 257, 61824)-net over F4, using net defined by OOA based on linear OOA(4257, 61824, F4, 39, 34) (dual of [(61824, 39), 2410879, 35]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(4257, 370945, F4, 3, 34) (dual of [(370945, 3), 1112578, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4257, 370947, F4, 3, 34) (dual of [(370947, 3), 1112584, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4257, 370947, F4, 2, 34) (dual of [(370947, 2), 741637, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4257, 524306, F4, 2, 34) (dual of [(524306, 2), 1048355, 35]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4257, 1048612, F4, 34) (dual of [1048612, 1048355, 35]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4256, 1048611, F4, 34) (dual of [1048611, 1048355, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(29) [i] based on
- linear OA(4251, 1048576, F4, 34) (dual of [1048576, 1048325, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(4221, 1048576, F4, 30) (dual of [1048576, 1048355, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(45, 35, F4, 3) (dual of [35, 30, 4]-code or 35-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(33) ⊂ Ce(29) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4256, 1048611, F4, 34) (dual of [1048611, 1048355, 35]-code), using
- OOA 2-folding [i] based on linear OA(4257, 1048612, F4, 34) (dual of [1048612, 1048355, 35]-code), using
- discarding factors / shortening the dual code based on linear OOA(4257, 524306, F4, 2, 34) (dual of [(524306, 2), 1048355, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4257, 370947, F4, 2, 34) (dual of [(370947, 2), 741637, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4257, 370947, F4, 3, 34) (dual of [(370947, 3), 1112584, 35]-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.