Information on Result #1299522
Linear OA(3250, 285, F3, 125) (dual of [285, 35, 126]-code), using construction X with Varšamov bound based on
- linear OA(3224, 256, F3, 125) (dual of [256, 32, 126]-code), using
- 3 times code embedding in larger space [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
- 3 times code embedding in larger space [i] based on linear OA(3221, 253, F3, 125) (dual of [253, 32, 126]-code), using
- linear OA(3224, 259, F3, 107) (dual of [259, 35, 108]-code), using Gilbert–Varšamov bound and bm = 3224 > Vbs−1(k−1) = 46767 230619 692998 548043 052458 072901 656303 221687 566323 613640 861271 676301 680452 825114 295886 430781 835493 020681 [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.