Information on Result #1561526
Linear OOA(9112, 531482, F9, 3, 20) (dual of [(531482, 3), 1594334, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9112, 531482, F9, 20) (dual of [531482, 531370, 21]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9110, 531478, F9, 20) (dual of [531478, 531368, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(13) [i] based on
- linear OA(9103, 531441, F9, 20) (dual of [531441, 531338, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(973, 531441, F9, 14) (dual of [531441, 531368, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(97, 37, F9, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- construction X applied to Ce(19) ⊂ Ce(13) [i] based on
- linear OA(9110, 531480, F9, 19) (dual of [531480, 531370, 20]-code), using Gilbert–Varšamov bound and bm = 9110 > Vbs−1(k−1) = 32 203681 693704 491179 264768 564467 885499 111454 960634 570281 484030 782374 745656 597106 798712 435860 718601 266681 [i]
- linear OA(90, 2, F9, 0) (dual of [2, 2, 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
- linear OA(9110, 531478, F9, 20) (dual of [531478, 531368, 21]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(9112, 132870, F9, 27, 20) (dual of [(132870, 27), 3587378, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |