Information on Result #2301090
Linear OA(3235, 268, F3, 122) (dual of [268, 33, 123]-code), using 1 times truncation based on linear OA(3236, 269, F3, 123) (dual of [269, 33, 124]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(3218, 250, F3, 123) (dual of [250, 32, 124]-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(31, 7, F3, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(124) ⊂ Ce(120) [i] based on
- linear OA(3218, 251, F3, 105) (dual of [251, 33, 106]-code), using Gilbert–Varšamov bound and bm = 3218 > Vbs−1(k−1) = 83 448670 601097 143187 589501 654795 335952 875513 534060 079064 953677 245261 510264 841220 781861 875757 473396 060521 [i]
- linear OA(317, 18, F3, 17) (dual of [18, 1, 18]-code or 18-arc in PG(16,3)), using
- dual of repetition code with length 18 [i]
- linear OA(3218, 250, F3, 123) (dual of [250, 32, 124]-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.