Information on Result #1610979
Linear OOA(3227, 4194422, F3, 4, 20) (dual of [(4194422, 4), 16777461, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3227, 4194422, F3, 2, 20) (dual of [(4194422, 2), 8388617, 21]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(331, 121, F3, 2, 10) (dual of [(121, 2), 211, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(331, 242, F3, 10) (dual of [242, 211, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- OOA 2-folding [i] based on linear OA(331, 242, F3, 10) (dual of [242, 211, 11]-code), using
- linear OOA(3196, 4194301, F3, 2, 20) (dual of [(4194301, 2), 8388406, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3196, 8388602, F3, 20) (dual of [8388602, 8388406, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- OOA 2-folding [i] based on linear OA(3196, 8388602, F3, 20) (dual of [8388602, 8388406, 21]-code), using
- linear OOA(331, 121, F3, 2, 10) (dual of [(121, 2), 211, 11]-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.