Information on Result #1299616
Linear OA(3248, 288, F3, 118) (dual of [288, 40, 119]-code), using construction X with Varšamov bound based on
- linear OA(3237, 272, F3, 118) (dual of [272, 35, 119]-code), using
- construction X with Varšamov bound [i] based on
- 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(3211, 246, F3, 100) (dual of [246, 35, 101]-code), using Gilbert–Varšamov bound and bm = 3211 > Vbs−1(k−1) = 29907 967590 508018 699083 829848 601258 342096 230653 339639 716480 566047 206559 926274 084021 216610 920046 852915 [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
- linear OA(3211, 243, F3, 121) (dual of [243, 32, 122]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(3237, 277, F3, 112) (dual of [277, 40, 113]-code), using Gilbert–Varšamov bound and bm = 3237 > Vbs−1(k−1) = 113301 952507 713802 706355 880940 340389 096921 823678 088817 479548 356179 355509 728407 410095 139624 055679 119115 094611 087249 [i]
- linear OA(36, 11, F3, 5) (dual of [11, 5, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(36, 12, F3, 5) (dual of [12, 6, 6]-code), using
- extended Golay code Ge(3) [i]
- discarding factors / shortening the dual code based on linear OA(36, 12, F3, 5) (dual of [12, 6, 6]-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.