Information on Result #1442725
Linear OOA(7103, 4036671, F7, 2, 15) (dual of [(4036671, 2), 8073239, 16]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(7103, 4036671, F7, 15) (dual of [4036671, 4036568, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(7103, 5764839, F7, 15) (dual of [5764839, 5764736, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(9) [i] based on
- linear OA(797, 5764801, F7, 15) (dual of [5764801, 5764704, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(765, 5764801, F7, 10) (dual of [5764801, 5764736, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(76, 38, F7, 4) (dual of [38, 32, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- 1 times truncation [i] based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- construction X applied to Ce(14) ⊂ Ce(9) [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, 2018335, F7, 3, 15) (dual of [(2018335, 3), 6054902, 16]-NRT-code) | [i] | OOA Folding | |