Information on Result #677458
Linear OA(3101, 264, F3, 31) (dual of [264, 163, 32]-code), using construction XX applied to Ce(30) ⊂ Ce(24) ⊂ Ce(22) based on
- 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(381, 243, F3, 25) (dual of [243, 162, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(376, 243, F3, 23) (dual of [243, 167, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(38, 19, F3, 5) (dual of [19, 11, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), using
- linear OA(31, 2, F3, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [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 OA(3100, 263, F3, 30) (dual of [263, 163, 31]-code) | [i] | Truncation | |
| 2 | Linear OOA(3101, 132, F3, 2, 31) (dual of [(132, 2), 163, 32]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3101, 88, F3, 3, 31) (dual of [(88, 3), 163, 32]-NRT-code) | [i] | ||