Information on Result #677281
Linear OA(3234, 266, F3, 130) (dual of [266, 32, 131]-code), using construction X applied to Ce(130) ⊂ Ce(120) based on
- linear OA(3222, 243, F3, 131) (dual of [243, 21, 132]-code), using an extension Ce(130) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,130], and designed minimum distance d ≥ |I|+1 = 131 [i]
- linear OA(3211, 243, F3, 121) (dual of [243, 32, 122]-code), using an extension Ce(120) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,120], and designed minimum distance d ≥ |I|+1 = 121 [i]
- linear OA(312, 23, F3, 8) (dual of [23, 11, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- extended quadratic residue code Qe(24,3) [i]
- discarding factors / shortening the dual code based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
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(3234, 266, F3, 129) (dual of [266, 32, 130]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3234, 266, F3, 128) (dual of [266, 32, 129]-code) | [i] | ||
| 3 | Linear OA(3234, 266, F3, 127) (dual of [266, 32, 128]-code) | [i] | ||
| 4 | Linear OA(3234, 266, F3, 126) (dual of [266, 32, 127]-code) | [i] | ||
| 5 | Linear OA(3234, 266, F3, 125) (dual of [266, 32, 126]-code) | [i] | ||
| 6 | Linear OA(3234, 266, F3, 124) (dual of [266, 32, 125]-code) | [i] | ||
| 7 | Linear OA(3234, 266, F3, 123) (dual of [266, 32, 124]-code) | [i] | ||
| 8 | Linear OA(3234, 266, F3, 122) (dual of [266, 32, 123]-code) | [i] | ||
| 9 | Linear OA(3234, 266, F3, 121) (dual of [266, 32, 122]-code) | [i] | ||
| 10 | Linear OA(3234, 266, F3, 120) (dual of [266, 32, 121]-code) | [i] | ||
| 11 | Linear OA(3234, 266, F3, 119) (dual of [266, 32, 120]-code) | [i] | ||
| 12 | Linear OA(3234, 266, F3, 118) (dual of [266, 32, 119]-code) | [i] | ||
| 13 | Linear OA(3234, 266, F3, 117) (dual of [266, 32, 118]-code) | [i] | ||
| 14 | Linear OA(3234, 266, F3, 116) (dual of [266, 32, 117]-code) | [i] | ||
| 15 | Linear OA(3234, 266, F3, 115) (dual of [266, 32, 116]-code) | [i] | ||
| 16 | Linear OA(3234, 266, F3, 114) (dual of [266, 32, 115]-code) | [i] | ||
| 17 | Linear OA(3236, 268, F3, 130) (dual of [268, 32, 131]-code) | [i] | Code Embedding in Larger Space | |
| 18 | Linear OA(3237, 269, F3, 130) (dual of [269, 32, 131]-code) | [i] | ||
| 19 | Linear OA(3238, 270, F3, 130) (dual of [270, 32, 131]-code) | [i] | ||
| 20 | Linear OA(3250, 282, F3, 130) (dual of [282, 32, 131]-code) | [i] | ||
| 21 | Linear OOA(3234, 133, F3, 2, 130) (dual of [(133, 2), 32, 131]-NRT-code) | [i] | OOA Folding | |
| 22 | Linear OOA(3234, 53, F3, 5, 130) (dual of [(53, 5), 31, 131]-NRT-code) | [i] | ||