Information on Result #677445
Linear OA(3110, 263, F3, 34) (dual of [263, 153, 35]-code), using construction XX applied to Ce(33) ⊂ Ce(30) ⊂ Ce(25) based on
- linear OA(3101, 243, F3, 34) (dual of [243, 142, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(391, 243, F3, 31) (dual of [243, 152, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(386, 243, F3, 26) (dual of [243, 157, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(34, 15, F3, 2) (dual of [15, 11, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- linear OA(34, 5, F3, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,3)), using
- dual of repetition code with length 5 [i]
Mode: Constructive and 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.