Information on Result #1299206
Linear OA(3200, 239, F3, 93) (dual of [239, 39, 94]-code), using construction X with Varšamov bound based on
- linear OA(3199, 237, F3, 93) (dual of [237, 38, 94]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(3198, 235, F3, 93) (dual of [235, 37, 94]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(3197, 233, F3, 93) (dual of [233, 36, 94]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(3183, 215, F3, 93) (dual of [215, 32, 94]-code), using
- 29 times truncation [i] based on linear OA(3212, 244, F3, 122) (dual of [244, 32, 123]-code), using
- construction X applied to Ce(121) ⊂ Ce(120) [i] based on
- 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(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(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(121) ⊂ Ce(120) [i] based on
- 29 times truncation [i] based on linear OA(3212, 244, F3, 122) (dual of [244, 32, 123]-code), using
- linear OA(3183, 219, F3, 85) (dual of [219, 36, 86]-code), using Gilbert–Varšamov bound and bm = 3183 > Vbs−1(k−1) = 2007 475157 792492 760056 939638 399468 908859 093170 061955 968109 996071 488981 984494 532151 774953 [i]
- linear OA(310, 14, F3, 7) (dual of [14, 4, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(310, 15, F3, 7) (dual of [15, 5, 8]-code), using
- 1 times truncation [i] based on linear OA(311, 16, F3, 8) (dual of [16, 5, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(310, 15, F3, 7) (dual of [15, 5, 8]-code), using
- linear OA(3183, 215, F3, 93) (dual of [215, 32, 94]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(3197, 234, F3, 92) (dual of [234, 37, 93]-code), using Gilbert–Varšamov bound and bm = 3197 > Vbs−1(k−1) = 9617 633842 054166 101312 617030 056798 912102 275844 128621 184630 596110 842318 541965 230864 098438 282595 [i]
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code) (see above)
- linear OA(3197, 233, F3, 93) (dual of [233, 36, 94]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(3198, 236, F3, 92) (dual of [236, 38, 93]-code), using Gilbert–Varšamov bound and bm = 3198 > Vbs−1(k−1) = 25523 416148 385447 554276 414308 029260 859594 308657 055190 729291 529005 831864 479122 501430 305398 843515 [i]
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code) (see above)
- linear OA(3198, 235, F3, 93) (dual of [235, 37, 94]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(3199, 238, F3, 92) (dual of [238, 39, 93]-code), using Gilbert–Varšamov bound and bm = 3199 > Vbs−1(k−1) = 67027 353582 584624 040326 069588 710896 258179 444956 345821 814841 726259 401225 152912 938477 708810 202195 [i]
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code) (see above)
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3201, 241, F3, 93) (dual of [241, 40, 94]-code) | [i] | Construction X with Varšamov Bound | |