Information on Result #691396
Linear OA(987, 102, F9, 62) (dual of [102, 15, 63]-code), using construction XX applied to Ce(61) ⊂ Ce(51) ⊂ Ce(50) based on
- linear OA(975, 81, F9, 62) (dual of [81, 6, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(968, 81, F9, 52) (dual of [81, 13, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(966, 81, F9, 51) (dual of [81, 15, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(910, 19, F9, 9) (dual of [19, 9, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- discarding factors / shortening the dual code based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- 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
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(987, 51, F9, 2, 62) (dual of [(51, 2), 15, 63]-NRT-code) | [i] | OOA Folding | |