Information on Result #1016100
Linear OOA(9111, 5594590, F9, 3, 12) (dual of [(5594590, 3), 16783659, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(921, 2188, F9, 3, 6) (dual of [(2188, 3), 6543, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(921, 6564, F9, 6) (dual of [6564, 6543, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(921, 6565, F9, 6) (dual of [6565, 6544, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(921, 6561, F9, 6) (dual of [6561, 6540, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(917, 6561, F9, 5) (dual of [6561, 6544, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(90, 4, F9, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(921, 6565, F9, 6) (dual of [6565, 6544, 7]-code), using
- OOA 3-folding [i] based on linear OA(921, 6564, F9, 6) (dual of [6564, 6543, 7]-code), using
- linear OOA(990, 5592402, F9, 3, 12) (dual of [(5592402, 3), 16777116, 13]-NRT-code), using
- trace code [i] based on linear OOA(8145, 2796201, F81, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- trace code [i] based on linear OOA(8145, 2796201, F81, 3, 12) (dual of [(2796201, 3), 8388558, 13]-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(9111, 2797294, F9, 15, 12) (dual of [(2797294, 15), 41959299, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |