Information on Result #1541795
Linear OOA(4206, 4194311, F4, 3, 22) (dual of [(4194311, 3), 12582727, 23]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4206, 4194311, F4, 2, 22) (dual of [(4194311, 2), 8388416, 23]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(413, 10, F4, 2, 11) (dual of [(10, 2), 7, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,8P) [i] based on function field F/F4 with g(F) = 2 and N(F) ≥ 10, using
- 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(413, 10, F4, 2, 11) (dual of [(10, 2), 7, 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.
Other Results with Identical Parameters
None.
Depending Results
None.