Information on Result #1718946
Digital (175, 197, 997859)-net over F4, using net defined by OOA based on linear OOA(4197, 997859, F4, 27, 22) (dual of [(997859, 27), 26941996, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4197, 3991437, F4, 3, 22) (dual of [(3991437, 3), 11974114, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4197, 3991438, F4, 3, 22) (dual of [(3991438, 3), 11974117, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4197, 3991438, F4, 2, 22) (dual of [(3991438, 2), 7982679, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4197, 4194303, F4, 2, 22) (dual of [(4194303, 2), 8388409, 23]-NRT-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(4193, 4194301, F4, 2, 22) (dual of [(4194301, 2), 8388409, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4193, 8388602, F4, 22) (dual of [8388602, 8388409, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(4193, large, F4, 22) (dual of [large, large−193, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- discarding factors / shortening the dual code based on linear OA(4193, large, F4, 22) (dual of [large, large−193, 23]-code), using
- OOA 2-folding [i] based on linear OA(4193, 8388602, F4, 22) (dual of [8388602, 8388409, 23]-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(4193, 4194301, F4, 2, 22) (dual of [(4194301, 2), 8388409, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4197, 4194303, F4, 2, 22) (dual of [(4194303, 2), 8388409, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4197, 3991438, F4, 2, 22) (dual of [(3991438, 2), 7982679, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4197, 3991438, F4, 3, 22) (dual of [(3991438, 3), 11974117, 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.