Information on Result #678338
Linear OA(4260, 262242, F4, 35) (dual of [262242, 261982, 36]-code), using construction X applied to C([0,17]) ⊂ C([0,12]) based on
- linear OA(4235, 262145, F4, 35) (dual of [262145, 261910, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(4163, 262145, F4, 25) (dual of [262145, 261982, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(425, 97, F4, 9) (dual of [97, 72, 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(4260, 131121, F4, 2, 35) (dual of [(131121, 2), 261982, 36]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4260, 87414, F4, 3, 35) (dual of [(87414, 3), 261982, 36]-NRT-code) | [i] | ||