Information on Result #1299290
Linear OA(3238, 276, F3, 114) (dual of [276, 38, 115]-code), using construction X with Varšamov bound based on
- linear OA(3204, 236, F3, 114) (dual of [236, 32, 115]-code), using
- 8 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
- 8 times truncation [i] based on linear OA(3212, 244, F3, 122) (dual of [244, 32, 123]-code), using
- linear OA(3204, 242, F3, 95) (dual of [242, 38, 96]-code), using Gilbert–Varšamov bound and bm = 3204 > Vbs−1(k−1) = 15 095214 478660 341339 239000 039451 732142 503614 803217 246551 801362 400957 437076 221802 537376 425766 225475 [i]
- linear OA(328, 34, F3, 18) (dual of [34, 6, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(328, 35, F3, 18) (dual of [35, 7, 19]-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.