Information on Result #677375
Linear OA(3233, 261, F3, 131) (dual of [261, 28, 132]-code), using construction XX applied to Ce(130) ⊂ Ce(124) ⊂ Ce(121) 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(3217, 243, F3, 125) (dual of [243, 26, 126]-code), using an extension Ce(124) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,124], and designed minimum distance d ≥ |I|+1 = 125 [i]
- linear OA(3212, 243, F3, 122) (dual of [243, 31, 123]-code), using an extension Ce(121) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,121], and designed minimum distance d ≥ |I|+1 = 122 [i]
- linear OA(37, 14, F3, 5) (dual of [14, 7, 6]-code), using
- extended quadratic residue code Qe(14,3) [i]
- linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [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(3232, 260, F3, 130) (dual of [260, 28, 131]-code) | [i] | Truncation | |
| 2 | Linear OA(3231, 259, F3, 129) (dual of [259, 28, 130]-code) | [i] | ||
| 3 | Linear OOA(3233, 87, F3, 3, 131) (dual of [(87, 3), 28, 132]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3233, 52, F3, 5, 131) (dual of [(52, 5), 27, 132]-NRT-code) | [i] | ||