Information on Result #737826
Linear OA(8135, 32836, F8, 27) (dual of [32836, 32701, 28]-code), using construction X applied to Ce(26) ⊂ Ce(14) based on
- linear OA(8116, 32768, F8, 27) (dual of [32768, 32652, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(866, 32768, F8, 15) (dual of [32768, 32702, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(819, 68, F8, 11) (dual of [68, 49, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(8) [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(815, 64, F8, 9) (dual of [64, 49, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(81, 4, F8, 1) (dual of [4, 3, 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(10) ⊂ Ce(8) [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(8135, 16418, F8, 2, 27) (dual of [(16418, 2), 32701, 28]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8135, 10945, F8, 3, 27) (dual of [(10945, 3), 32700, 28]-NRT-code) | [i] | ||