Information on Result #1016022
Linear OOA(9104, 7983894, F9, 3, 10) (dual of [(7983894, 3), 23951578, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(930, 2391492, F9, 3, 5) (dual of [(2391492, 3), 7174446, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(930, 4782985, F9, 5) (dual of [4782985, 4782955, 6]-code), using
- construction X applied to C([0,2]) ⊂ C([0,1]) [i] based on
- linear OA(929, 4782970, F9, 5) (dual of [4782970, 4782941, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 914−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(915, 4782970, F9, 3) (dual of [4782970, 4782955, 4]-code or 4782970-cap in PG(14,9)), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 914−1, defining interval I = [0,1], and minimum distance d ≥ |{−1,0,1}|+1 = 4 (BCH-bound) [i]
- linear OA(91, 15, F9, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,2]) ⊂ C([0,1]) [i] based on
- OOA 2-folding and stacking with additional row [i] based on linear OA(930, 4782985, F9, 5) (dual of [4782985, 4782955, 6]-code), using
- linear OOA(974, 5592402, F9, 3, 10) (dual of [(5592402, 3), 16777132, 11]-NRT-code), using
- trace code [i] based on linear OOA(8137, 2796201, F81, 3, 10) (dual of [(2796201, 3), 8388566, 11]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8137, large, F81, 10) (dual of [large, large−37, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- OOA 3-folding [i] based on linear OA(8137, large, F81, 10) (dual of [large, large−37, 11]-code), using
- trace code [i] based on linear OOA(8137, 2796201, F81, 3, 10) (dual of [(2796201, 3), 8388566, 11]-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, 3991946, F9, 15, 10) (dual of [(3991946, 15), 59879086, 11]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |