Information on Result #677412
Linear OA(3127, 271, F3, 40) (dual of [271, 144, 41]-code), using construction XX applied to Ce(39) ⊂ Ce(33) ⊂ Ce(31) based on
- linear OA(3116, 243, F3, 40) (dual of [243, 127, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3101, 243, F3, 34) (dual of [243, 142, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(396, 243, F3, 32) (dual of [243, 147, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(38, 25, F3, 5) (dual of [25, 17, 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, 3, F3, 1) (dual of [3, 2, 2]-code), using
- Reed–Solomon code RS(2,3) [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(3127, 135, F3, 2, 40) (dual of [(135, 2), 143, 41]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3127, 90, F3, 3, 40) (dual of [(90, 3), 143, 41]-NRT-code) | [i] | ||