Information on Result #678792
Linear OA(4258, 65625, F4, 39) (dual of [65625, 65367, 40]-code), using construction X applied to Ce(38) ⊂ Ce(28) based on
- linear OA(4233, 65536, F4, 39) (dual of [65536, 65303, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(425, 89, F4, 9) (dual of [89, 64, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(425, 255, F4, 9) (dual of [255, 230, 10]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(425, 255, F4, 9) (dual of [255, 230, 10]-code), 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(4258, 21875, F4, 3, 39) (dual of [(21875, 3), 65367, 40]-NRT-code) | [i] | OOA Folding | |