Information on Result #1299197
Linear OA(3224, 260, F3, 109) (dual of [260, 36, 110]-code), using construction X with Varšamov bound based on
- linear OA(3199, 231, F3, 109) (dual of [231, 32, 110]-code), using
- 13 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
- 13 times truncation [i] based on linear OA(3212, 244, F3, 122) (dual of [244, 32, 123]-code), using
- linear OA(3199, 235, F3, 93) (dual of [235, 36, 94]-code), using Gilbert–Varšamov bound and bm = 3199 > Vbs−1(k−1) = 49171 980922 543444 163373 701699 589998 962148 149717 901624 145192 630578 714496 492596 005519 268633 770025 [i]
- linear OA(321, 25, F3, 15) (dual of [25, 4, 16]-code), using
- 2 times truncation [i] based on linear OA(323, 27, F3, 17) (dual of [27, 4, 18]-code), using
- a code of Belov type defined by PG(3,3) ∖ PG(2,3) [i]
- 2 times truncation [i] based on linear OA(323, 27, F3, 17) (dual of [27, 4, 18]-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.