Information on Result #1719642
Digital (225, 251, 1221035)-net over F4, using net defined by OOA based on linear OOA(4251, 1221035, F4, 33, 26) (dual of [(1221035, 33), 40293904, 27]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4251, 6105176, F4, 3, 26) (dual of [(6105176, 3), 18315277, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4251, 6105179, F4, 3, 26) (dual of [(6105179, 3), 18315286, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4251, 6105179, F4, 26) (dual of [6105179, 6104928, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(4251, large, F4, 26) (dual of [large, large−251, 27]-code), using
- 22 times code embedding in larger space [i] based on linear OA(4229, large, F4, 26) (dual of [large, large−229, 27]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,25], and designed minimum distance d ≥ |I|+1 = 27 [i]
- 22 times code embedding in larger space [i] based on linear OA(4229, large, F4, 26) (dual of [large, large−229, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(4251, large, F4, 26) (dual of [large, large−251, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4251, 6105179, F4, 26) (dual of [6105179, 6104928, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(4251, 6105179, F4, 3, 26) (dual of [(6105179, 3), 18315286, 27]-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.