Information on Result #1780220
Digital (182, 204, 4194307)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4204, 4194307, F4, 2, 22) (dual of [(4194307, 2), 8388410, 23]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(411, 6, F4, 2, 11) (dual of [(6, 2), 1, 12]-NRT-code), using
- dual of repetition NRT-code with length 6 [i]
- 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
- linear OOA(411, 6, F4, 2, 11) (dual of [(6, 2), 1, 12]-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.