Information on Result #714906
Linear OA(8142, 580, F8, 44) (dual of [580, 438, 45]-code), using construction X applied to C([0,43]) ⊂ C([0,27]) based on
- linear OA(8115, 511, F8, 44) (dual of [511, 396, 45]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,43], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(873, 511, F8, 28) (dual of [511, 438, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(827, 69, F8, 15) (dual of [69, 42, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- linear OA(826, 64, F8, 15) (dual of [64, 38, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(822, 64, F8, 13) (dual of [64, 42, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(81, 5, F8, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(12) [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(8142, 290, F8, 2, 44) (dual of [(290, 2), 438, 45]-NRT-code) | [i] | OOA Folding | |