Information on Result #689099
Linear OA(9143, 4783048, F9, 21) (dual of [4783048, 4782905, 22]-code), using construction X applied to Ce(20) ⊂ Ce(10) based on
- linear OA(9127, 4782969, F9, 21) (dual of [4782969, 4782842, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(964, 4782969, F9, 11) (dual of [4782969, 4782905, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(916, 79, F9, 9) (dual of [79, 63, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(916, 80, F9, 9) (dual of [80, 64, 10]-code), using
- 2 times truncation [i] based on linear OA(918, 82, F9, 11) (dual of [82, 64, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(918, 81, F9, 11) (dual of [81, 63, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(917, 81, F9, 10) (dual of [81, 64, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 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
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- 2 times truncation [i] based on linear OA(918, 82, F9, 11) (dual of [82, 64, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(916, 80, F9, 9) (dual of [80, 64, 10]-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(9143, 2391524, F9, 2, 21) (dual of [(2391524, 2), 4782905, 22]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(9143, 1594349, F9, 3, 21) (dual of [(1594349, 3), 4782904, 22]-NRT-code) | [i] | ||