Information on Result #685582
Linear OA(748, 358, F7, 17) (dual of [358, 310, 18]-code), using construction XX applied to Ce(16) ⊂ Ce(12) ⊂ Ce(11) based on
- linear OA(743, 343, F7, 17) (dual of [343, 300, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(734, 343, F7, 13) (dual of [343, 309, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(731, 343, F7, 12) (dual of [343, 312, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(74, 14, F7, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,7)), using
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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.