Information on Result #737133
Linear OA(3103, 271, F3, 30) (dual of [271, 168, 31]-code), using construction XX applied to Ce(30) ⊂ Ce(22) ⊂ Ce(21) 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(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(371, 243, F3, 22) (dual of [243, 172, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(311, 27, F3, 6) (dual of [27, 16, 7]-code), using
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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(3103, 135, F3, 2, 30) (dual of [(135, 2), 167, 31]-NRT-code) | [i] | OOA Folding | |