MinT - Information on Result #639851

Information on Result #639851

Linear OA(8¹³⁸, 150, F₈, 99) (dual of [150, 12, 100]-code), using concatenation of two codes based on

linear OA(64²⁴, 30, F₆₄, 24) (dual of [30, 6, 25]-code or 30-arc in PG(23,64)), using
- discarding factors / shortening the dual code based on linear OA(64²⁴, 64, F₆₄, 24) (dual of [64, 40, 25]-code or 64-arc in PG(23,64)), using
  - Reedâ€“Solomon code RS(40,64) [i]
linear OA(8³, 5, F₈, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,8) or 5-cap in PG(2,8)), using
- discarding factors / shortening the dual code based on linear OA(8³, 8, F₈, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), using
  - Reedâ€“Solomon code RS(5,8) [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

The following results depend on this result:

	Result		This result only	Method
1	Linear OA(8¹³⁸, 150, F₈, 98) (dual of [150, 12, 99]-code)	[i]		Strength Reduction
2	Linear OA(8¹³⁸, 150, F₈, 97) (dual of [150, 12, 98]-code)	[i]		Strength Reduction
3	Linear OA(8¹³⁷, 149, F₈, 98) (dual of [149, 12, 99]-code)	[i]		Truncation
4	Linear OA(8¹³⁶, 148, F₈, 97) (dual of [148, 12, 98]-code)	[i]
5	Linear OA(8¹³⁵, 147, F₈, 96) (dual of [147, 12, 97]-code)	[i]
6	Linear OA(8¹³⁴, 146, F₈, 95) (dual of [146, 12, 96]-code)	[i]
7	Linear OA(8¹³², 144, F₈, 93) (dual of [144, 12, 94]-code)	[i]
8	Linear OA(8¹³¹, 143, F₈, 92) (dual of [143, 12, 93]-code)	[i]
9	Linear OA(8¹³⁰, 142, F₈, 91) (dual of [142, 12, 92]-code)	[i]
10	Linear OA(8¹²⁹, 141, F₈, 90) (dual of [141, 12, 91]-code)	[i]
11	Linear OA(8¹²⁷, 139, F₈, 88) (dual of [139, 12, 89]-code)	[i]
12	Linear OOA(8¹³⁸, 75, F₈, 2, 99) (dual of [(75, 2), 12, 100]-NRT-code)	[i]		OOA Folding
13	Linear OOA(8¹³⁸, 50, F₈, 3, 99) (dual of [(50, 3), 12, 100]-NRT-code)	[i]		OOA Folding