Information on Result #687938
Linear OA(8170, 516, F8, 65) (dual of [516, 346, 66]-code), using construction X applied to Ce(72) ⊂ Ce(62) based on
- linear OA(8169, 512, F8, 73) (dual of [512, 343, 74]-code), using an extension Ce(72) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,72], and designed minimum distance d ≥ |I|+1 = 73 [i]
- linear OA(8166, 512, F8, 63) (dual of [512, 346, 64]-code), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [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
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(8170, 258, F8, 2, 65) (dual of [(258, 2), 346, 66]-NRT-code) | [i] | OOA Folding | |