Information on Result #2266707
Linear OA(3129, 282, F3, 38) (dual of [282, 153, 39]-code), using 1 times code embedding in larger space based on linear OA(3128, 281, F3, 38) (dual of [281, 153, 39]-code), using
- construction XX applied to Ce(37) ⊂ Ce(30) ⊂ Ce(25) [i] based on
- linear OA(3111, 243, F3, 38) (dual of [243, 132, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(391, 243, F3, 31) (dual of [243, 152, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(386, 243, F3, 26) (dual of [243, 157, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(312, 33, F3, 6) (dual of [33, 21, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(312, 34, F3, 6) (dual of [34, 22, 7]-code), using
- linear OA(34, 5, F3, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,3)), using
- dual of repetition code with length 5 [i]
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(3129, 141, F3, 2, 38) (dual of [(141, 2), 153, 39]-NRT-code) | [i] | OOA Folding | |