Information on Result #737128
Linear OA(3131, 279, F3, 40) (dual of [279, 148, 41]-code), using construction XX applied to Ce(39) ⊂ Ce(31) ⊂ Ce(30) 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(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(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(314, 35, F3, 7) (dual of [35, 21, 8]-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(3131, 93, F3, 3, 40) (dual of [(93, 3), 148, 41]-NRT-code) | [i] | OOA Folding | |