Information on Result #737197
Linear OA(4216, 262215, F4, 30) (dual of [262215, 261999, 31]-code), using construction X applied to Ce(29) ⊂ Ce(21) based on
- linear OA(4199, 262144, F4, 30) (dual of [262144, 261945, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4145, 262144, F4, 22) (dual of [262144, 261999, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(417, 71, F4, 7) (dual of [71, 54, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(4) [i] based on
- linear OA(416, 64, F4, 7) (dual of [64, 48, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(410, 64, F4, 5) (dual of [64, 54, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(41, 7, F4, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(4) [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 OA(4218, 262217, F4, 30) (dual of [262217, 261999, 31]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4219, 262218, F4, 30) (dual of [262218, 261999, 31]-code) | [i] | ||
| 3 | Linear OOA(4216, 131107, F4, 2, 30) (dual of [(131107, 2), 261998, 31]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4216, 87405, F4, 3, 30) (dual of [(87405, 3), 261999, 31]-NRT-code) | [i] | ||
| 5 | Linear OOA(4216, 17481, F4, 30, 30) (dual of [(17481, 30), 524214, 31]-NRT-code) | [i] | OA Folding and Stacking | |