Information on Result #906396
Linear OOA(446, 4893354, F4, 2, 5) (dual of [(4893354, 2), 9786662, 6]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(41, 1398101, F4, 2, 1) (dual of [(1398101, 2), 2796201, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(41, s, F4, 2, 1) for arbitrarily large s, using
- appending 1 arbitrary column [i] based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(41, s, F4, 2, 1) for arbitrarily large s, using
- linear OOA(411, 1398101, F4, 2, 2) (dual of [(1398101, 2), 2796191, 3]-NRT-code), using
- appending kth column [i] based on linear OA(411, 1398101, F4, 2) (dual of [1398101, 1398090, 3]-code), using
- Hamming code H(11,4) [i]
- appending kth column [i] based on linear OA(411, 1398101, F4, 2) (dual of [1398101, 1398090, 3]-code), using
- linear OOA(434, 2097152, F4, 2, 5) (dual of [(2097152, 2), 4194270, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(434, 4194304, F4, 5) (dual of [4194304, 4194270, 6]-code), using
- an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- OOA 2-folding [i] based on linear OA(434, 4194304, F4, 5) (dual of [4194304, 4194270, 6]-code), using
Mode: Constructive and 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(446, 4893353, F4, 3, 5) (dual of [(4893353, 3), 14680013, 6]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(446, 4893353, F4, 6, 5) (dual of [(4893353, 6), 29360072, 6]-NRT-code) | [i] | ||