Information on Result #737792
Linear OA(8169, 32835, F8, 35) (dual of [32835, 32666, 36]-code), using construction X applied to C([0,17]) ⊂ C([0,11]) based on
- linear OA(8151, 32769, F8, 35) (dual of [32769, 32618, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(8101, 32769, F8, 23) (dual of [32769, 32668, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(818, 66, F8, 11) (dual of [66, 48, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(818, 64, F8, 11) (dual of [64, 46, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(816, 64, F8, 10) (dual of [64, 48, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(80, 2, F8, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
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(8169, 16417, F8, 2, 35) (dual of [(16417, 2), 32665, 36]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8169, 10945, F8, 3, 35) (dual of [(10945, 3), 32666, 36]-NRT-code) | [i] | ||