Information on Result #1553227
Linear OOA(7103, 597414, F7, 3, 17) (dual of [(597414, 3), 1792139, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(7103, 597414, F7, 17) (dual of [597414, 597311, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(7103, 823568, F7, 17) (dual of [823568, 823465, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- linear OA(799, 823543, F7, 17) (dual of [823543, 823444, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(778, 823543, F7, 13) (dual of [823543, 823465, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(74, 25, F7, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,7)), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
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(7103, 199137, F7, 21, 17) (dual of [(199137, 21), 4181774, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |