Information on Result #677454
Linear OA(3112, 275, F3, 32) (dual of [275, 163, 33]-code), using construction XX applied to Ce(31) ⊂ Ce(24) ⊂ Ce(22) based on
- linear OA(396, 243, F3, 32) (dual of [243, 147, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(381, 243, F3, 25) (dual of [243, 162, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(376, 243, F3, 23) (dual of [243, 167, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(314, 30, F3, 6) (dual of [30, 16, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(314, 53, F3, 6) (dual of [53, 39, 7]-code), using
- linear OA(31, 2, F3, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [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.