Information on Result #677351
Linear OA(3241, 258, F3, 140) (dual of [258, 17, 141]-code), using construction XX applied to Ce(151) ⊂ Ce(133) ⊂ Ce(130) based on
- linear OA(3232, 243, F3, 152) (dual of [243, 11, 153]-code), using an extension Ce(151) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,151], and designed minimum distance d ≥ |I|+1 = 152 [i]
- linear OA(3227, 243, F3, 134) (dual of [243, 16, 135]-code), using an extension Ce(133) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,133], and designed minimum distance d ≥ |I|+1 = 134 [i]
- 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(36, 12, F3, 5) (dual of [12, 6, 6]-code), using
- extended Golay code Ge(3) [i]
- linear OA(32, 3, F3, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,3)), using
- dual of repetition code with length 3 [i]
- Reed–Solomon code RS(1,3) [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 OA(3241, 258, F3, 139) (dual of [258, 17, 140]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3242, 259, F3, 140) (dual of [259, 17, 141]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3240, 257, F3, 139) (dual of [257, 17, 140]-code) | [i] | Truncation | |
| 4 | Linear OA(3239, 256, F3, 138) (dual of [256, 17, 139]-code) | [i] | ||
| 5 | Linear OOA(3241, 129, F3, 2, 140) (dual of [(129, 2), 17, 141]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(3241, 86, F3, 3, 140) (dual of [(86, 3), 17, 141]-NRT-code) | [i] | ||