Information on Result #980869
Linear OOA(8172, 10944, F8, 3, 36) (dual of [(10944, 3), 32660, 37]-NRT-code), using OOA 3-folding based on linear OA(8172, 32832, F8, 36) (dual of [32832, 32660, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(8172, 32833, F8, 36) (dual of [32833, 32661, 37]-code), using
- construction X applied to Ce(35) ⊂ Ce(24) [i] based on
- linear OA(8156, 32768, F8, 36) (dual of [32768, 32612, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(816, 65, F8, 10) (dual of [65, 49, 11]-code), using
- construction X applied to Ce(35) ⊂ Ce(24) [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(8173, 10944, F8, 3, 36) (dual of [(10944, 3), 32659, 37]-NRT-code) | [i] | OOA Duplication | |