Information on Result #690297
Linear OA(955, 747, F9, 19) (dual of [747, 692, 20]-code), using construction X applied to Ce(18) ⊂ Ce(13) based on
- linear OA(949, 729, F9, 19) (dual of [729, 680, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(937, 729, F9, 14) (dual of [729, 692, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(96, 18, F9, 4) (dual of [18, 12, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), using
- 1 times truncation [i] based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), using
Mode: Constructive and 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(955, 249, F9, 3, 19) (dual of [(249, 3), 692, 20]-NRT-code) | [i] | OOA Folding | |