Information on Result #1299496
Linear OA(3246, 281, F3, 123) (dual of [281, 35, 124]-code), using construction X with Varšamov bound based on
- linear OA(3220, 252, F3, 124) (dual of [252, 32, 125]-code), using
- 1 times truncation [i] based on linear OA(3221, 253, F3, 125) (dual of [253, 32, 126]-code), using
- construction X applied to Ce(124) ⊂ Ce(120) [i] based on
- 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(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(34, 10, F3, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,3)), using
- construction X applied to Ce(124) ⊂ Ce(120) [i] based on
- 1 times truncation [i] based on linear OA(3221, 253, F3, 125) (dual of [253, 32, 126]-code), using
- linear OA(3220, 255, F3, 105) (dual of [255, 35, 106]-code), using Gilbert–Varšamov bound and bm = 3220 > Vbs−1(k−1) = 687 887849 201004 931306 113908 230794 219446 606921 093570 650403 165484 523685 721038 306478 337058 593429 373166 150201 [i]
- linear OA(323, 26, F3, 17) (dual of [26, 3, 18]-code), using
- repeating each code word 2 times [i] based on linear OA(310, 13, F3, 8) (dual of [13, 3, 9]-code), using
- Simplex code S(3,3) [i]
- the expurgated narrow-sense BCH-code C(I) with length 13 | 33−1, defining interval I = [0,6], and minimum distance d ≥ |{−1,0,…,6}|+1 = 9 (BCH-bound) [i]
- repeating each code word 2 times [i] based on linear OA(310, 13, F3, 8) (dual of [13, 3, 9]-code), using
Mode: 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
None.