Information on Result #1299135
Linear OA(3217, 253, F3, 104) (dual of [253, 36, 105]-code), using construction X with Varšamov bound based on
- linear OA(3194, 226, F3, 104) (dual of [226, 32, 105]-code), using
- 18 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
- 18 times truncation [i] based on linear OA(3212, 244, F3, 122) (dual of [244, 32, 123]-code), using
- linear OA(3194, 230, F3, 90) (dual of [230, 36, 91]-code), using Gilbert–Varšamov bound and bm = 3194 > Vbs−1(k−1) = 136 767944 523985 236128 366987 062094 523670 915588 850737 881618 083535 773998 929693 596682 681389 615475 [i]
- linear OA(319, 23, F3, 13) (dual of [23, 4, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(319, 26, F3, 13) (dual of [26, 7, 14]-code), using
- contraction [i] based on linear OA(345, 52, F3, 27) (dual of [52, 7, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 52 | 36−1, defining interval I = [0,25], and minimum distance d ≥ |{−1,0,…,25}|+1 = 28 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(319, 26, F3, 13) (dual of [26, 7, 14]-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.