Information on Result #1016060
Linear OOA(9104, 5650730, F9, 3, 11) (dual of [(5650730, 3), 16952086, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(922, 58328, F9, 3, 5) (dual of [(58328, 3), 174962, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(922, 58329, F9, 2, 5) (dual of [(58329, 2), 116636, 6]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(90, 6481, F9, 2, 0) (dual of [(6481, 2), 12962, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(90, s, F9, 2, 0) for arbitrarily large s, using
- linear OOA(90, 6481, F9, 2, 0) (dual of [(6481, 2), 12962, 1]-NRT-code) (see above)
- linear OOA(90, 6481, F9, 2, 0) (dual of [(6481, 2), 12962, 1]-NRT-code) (see above)
- linear OOA(90, 6481, F9, 2, 0) (dual of [(6481, 2), 12962, 1]-NRT-code) (see above)
- linear OOA(91, 6481, F9, 2, 1) (dual of [(6481, 2), 12961, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(91, s, F9, 2, 1) for arbitrarily large s, using
- appending 1 arbitrary column [i] based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(91, s, F9, 2, 1) for arbitrarily large s, using
- linear OOA(91, 6481, F9, 2, 1) (dual of [(6481, 2), 12961, 2]-NRT-code) (see above)
- linear OOA(91, 6481, F9, 2, 1) (dual of [(6481, 2), 12961, 2]-NRT-code) (see above)
- linear OOA(95, 6481, F9, 2, 2) (dual of [(6481, 2), 12957, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(95, 7381, F9, 2, 2) (dual of [(7381, 2), 14757, 3]-NRT-code), using
- appending kth column [i] based on linear OA(95, 7381, F9, 2) (dual of [7381, 7376, 3]-code), using
- Hamming code H(5,9) [i]
- appending kth column [i] based on linear OA(95, 7381, F9, 2) (dual of [7381, 7376, 3]-code), using
- discarding factors / shortening the dual code based on linear OOA(95, 7381, F9, 2, 2) (dual of [(7381, 2), 14757, 3]-NRT-code), using
- linear OOA(914, 6481, F9, 2, 5) (dual of [(6481, 2), 12948, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(914, 12962, F9, 5) (dual of [12962, 12948, 6]-code), using
- trace code [i] based on linear OA(817, 6481, F81, 5) (dual of [6481, 6474, 6]-code), using
- OOA 2-folding [i] based on linear OA(914, 12962, F9, 5) (dual of [12962, 12948, 6]-code), using
- linear OOA(90, 6481, F9, 2, 0) (dual of [(6481, 2), 12962, 1]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(922, 58329, F9, 2, 5) (dual of [(58329, 2), 116636, 6]-NRT-code), using
- linear OOA(982, 5592402, F9, 3, 11) (dual of [(5592402, 3), 16777124, 12]-NRT-code), using
- trace code [i] based on linear OOA(8141, 2796201, F81, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
- trace code [i] based on linear OOA(8141, 2796201, F81, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-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(9104, 2825364, F9, 15, 11) (dual of [(2825364, 15), 42380356, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |