Information on Result #1560008
Linear OOA(963, 466858, F9, 3, 12) (dual of [(466858, 3), 1400511, 13]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(963, 466858, F9, 12) (dual of [466858, 466795, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(963, 531456, F9, 12) (dual of [531456, 531393, 13]-code), using
- 1 times code embedding in larger space [i] based on linear OA(962, 531455, F9, 12) (dual of [531455, 531393, 13]-code), using
- construction X4 applied to Ce(11) ⊂ Ce(9) [i] based on
- linear OA(961, 531441, F9, 12) (dual of [531441, 531380, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(949, 531441, F9, 10) (dual of [531441, 531392, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(913, 14, F9, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,9)), using
- dual of repetition code with length 14 [i]
- linear OA(91, 14, F9, 1) (dual of [14, 13, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, 728, F9, 1) (dual of [728, 727, 2]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,0], and designed minimum distance d ≥ |I|+1 = 2 [i]
- discarding factors / shortening the dual code based on linear OA(91, 728, F9, 1) (dual of [728, 727, 2]-code), using
- construction X4 applied to Ce(11) ⊂ Ce(9) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(962, 531455, F9, 12) (dual of [531455, 531393, 13]-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(963, 233428, F9, 15, 12) (dual of [(233428, 15), 3501357, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |